Question 1

Use Cramer's rule to solve the system of equations. If D = 0, use another method to determine the solution set.
-$$\begin{array} { l } 
8 x - 5 y = 25 \
2 x + 2 y = - 10
\end{array}$$

Accepted Answer

A)  $\{ ( 0 , - 4 ) \}$ 
B)  $\{ ( 0 , - 5 ) \}$ 
C)  Cramer's rule does not apply since $D = 0 ; \varnothing$ 
D)  $\{ ( - 1 , - 4 ) \}$ 
A)  $\{ ( 0 , - 4 ) \}$ 
B)  $\{ ( 0 , - 5 ) \}$ 
C)  Cramer's rule does not apply since $D = 0 ; \varnothing$ 
D)  $\{ ( - 1 , - 4 ) \}$

Question 2

Perform the operation or operations when possible.
-$$\left[ \begin{array} { r r } 
- 1 & 5 \
0 & 4 \
8 & - 4
\end{array} \right] - \left[ \begin{array} { l l } 
2 & 1 \
7 & 4 \
4 & 2
\end{array} \right]$$

Accepted Answer

A) 
$$\left[ \begin{array} { r r } 
- 3 & 4 \
- 7 & 0 \
4 & - 6
\end{array} \right]$$ 
B) 
$$\left[ \begin{array} { r r } 
3 & - 4 \
7 & 0 \
- 4 & 6
\end{array} \right]$$ 
C) 
$$\left[ \begin{array} { r r } 
1 & 4 \
7 & 0 \
4 & - 2
\end{array} \right]$$ 
D) 
$$\left[ \begin{array} { r r } 
1 & 6 \
7 & 8 \
12 & - 2
\end{array} \right]$$ 
A) 
$$\left[ \begin{array} { r r } 
- 3 & 4 \
- 7 & 0 \
4 & - 6
\end{array} \right]$$ 
B) 
$$\left[ \begin{array} { r r } 
3 & - 4 \
7 & 0 \
- 4 & 6
\end{array} \right]$$ 
C) 
$$\left[ \begin{array} { r r } 
1 & 4 \
7 & 0 \
4 & - 2
\end{array} \right]$$ 
D) 
$$\left[ \begin{array} { r r } 
1 & 6 \
7 & 8 \
12 & - 2
\end{array} \right]$$

Question 3

Graph the solution set of the system of inequalities.
-$$\begin{array} { l } 
x \leq 0 \
y \leq 0 \
x ^ { 2 } + y ^ { 2 } \geq 9 \
y + x \geq - 5
\end{array}$$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 4

Solve the problem.
-The following table shows the per capita cumquat consumption, in pounds, in the Virgin Islands i three different years. Find a function of the form $f ( x ) = a x ^ { 2 } + b x + c$ that fits this data. Using this function, what would you predict the per capita cumquat consumption to be in year 11?

$\begin{array}{c|c}
\text { Year } & \begin{array}{c}
\text { Cumquat consumption } \
\text { (in pounds) }
\end{array} \
\hline 0 & 12.4 \
\hline 5 & 23.9 \
\hline 9 & 43.9
\end{array}$
 n 64)

Accepted Answer

A)  55.2 lb 
B)  59 lb 
C)  57.5 lb 
D)  57.9 lb 
A)  55.2 lb 
B)  59 lb 
C)  57.5 lb 
D)  57.9 lb

Question 5

Find the partial fraction decomposition for the rational expression.
-$$\frac { 45 x ^ { 2 } - 5 x ^ { 3 } } { x ^ { 2 } ( 9 - x ) }$$

Accepted Answer

A)  $- 9$ 
B)  $- 5$ 
C)  5 
D)  9 
A)  $- 9$ 
B)  $- 5$ 
C)  5 
D)  9

Question 6

Provide an appropriate response.
-For a certain system of two linear equations, the values of the determinants used in Cramer's rule are $D = - 24 , D _ { X } = 1$, and $D _ { y } = - 11$. What is the solution set of the system?

Accepted Answer

A)  $\left\{ \left( - 24 , \frac { 24 } { 11 } \right) \right\}$ 
B)  $\left\{ \left( \frac { 11 } { 24 } , - \frac { 1 } { 24 } \right) \right\}$ 
C)  $\left\{ \left\{ - \frac { 1 } { 24 } , \frac { 11 } { 24 } \right) \right\}$ 
D)  $\{ ( 1 , - 11 ) \}$ 
A)  $\left\{ \left( - 24 , \frac { 24 } { 11 } \right) \right\}$ 
B)  $\left\{ \left( \frac { 11 } { 24 } , - \frac { 1 } { 24 } \right) \right\}$ 
C)  $\left\{ \left\{ - \frac { 1 } { 24 } , \frac { 11 } { 24 } \right) \right\}$ 
D)  $\{ ( 1 , - 11 ) \}$

Question 7

Determine the system of inequalities illustrated in the graph. Write inequalities in standard form.
-

Accepted Answer

A)  $y \leq - 2$
 $x ^ { 2 } + y \geq 4$ 
B)  $y \geq - 2$
$x ^ { 2 } + y \leq 4$ 
C)  $x \geq - 2$
$x ^ { 2 } + y \leq 4$ 
D)  $\mathrm { y } \leq - 2$ 
 $- x ^ { 2 } + y \leq 4$ 
A)  $y \leq - 2$
 $x ^ { 2 } + y \geq 4$ 
B)  $y \geq - 2$
$x ^ { 2 } + y \leq 4$ 
C)  $x \geq - 2$
$x ^ { 2 } + y \leq 4$ 
D)  $\mathrm { y } \leq - 2$ 
 $- x ^ { 2 } + y \leq 4$

Question 8

The graph shows the region of feasible solutions. Find the maximum or minimum value, as specified, of the objective
function.
-$$\text { objective function } = 5 x + 3 y ; \text { minimum }$$

Accepted Answer

A)  18 
B)  30 
C)  14 
D)  0 
A)  18 
B)  30 
C)  14 
D)  0

Question 9

Decide whether or not the matrices are inverses of each other.
-$$\left[ \begin{array} { r r r } 
2 & - 1 & 0 \
- 1 & 1 & - 2 \
1 & 0 & - 1
\end{array} \right] \text { and } \left[ \begin{array} { r r r } 
1 & - 1 & 2 \
- 3 & - 2 & 4 \
- 1 & 1 & 1
\end{array} \right]$$

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 10

Find the indicated matrix.
-Let $A = \left[ \begin{array} { l l } 2 & 3 \ 2 & 5 \end{array} \right]$ and $B = \left[ \begin{array} { r r } 0 & 4 \ - 1 & 6 \end{array} \right]$. Find $4 A + B$.

Accepted Answer

A) 
$$\left[ \begin{array} { r r } 
8 & 7 \
7 & 11
\end{array} \right]$$ 
B) 
$\left[ \begin{array} { l l } 8 & 28 \ 4 & 44 \end{array} \right]$ 
C) 
$\left[ \begin{array} { l l } 8 & 16 \ 1 & 11 \end{array} \right]$ 
D) 
$\left[ \begin{array} { l l } 8 & 16 \ 7 & 26 \end{array} \right]$ 
A) 
$$\left[ \begin{array} { r r } 
8 & 7 \
7 & 11
\end{array} \right]$$ 
B) 
$\left[ \begin{array} { l l } 8 & 28 \ 4 & 44 \end{array} \right]$ 
C) 
$\left[ \begin{array} { l l } 8 & 16 \ 1 & 11 \end{array} \right]$ 
D) 
$\left[ \begin{array} { l l } 8 & 16 \ 7 & 26 \end{array} \right]$

Question 11

Which method should be used to solve the system? Explain your answer, including a description of the first step.
-$$- 3 x - 5 y \leq 15$$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 12

Solve the problem.
-The following table shows the number of dog collars, in thousands, produced by Allied Pet Products in the three years considered. For a function of the form $f ( x ) = a x ^ { 2 } + b x + c$ that fits this dat $\varepsilon$ what is the value of $b$ ?
$\begin{array}{c|c}
\text { Year } & \begin{array}{c}
\text { Number of dog collars } \
\text { (in thousands) }
\end{array} \
\hline 0 & 20 \
\hline 6 & 14 \
\hline 18 & 23.6
\end{array}$

Accepted Answer

A)  -1.6 
B)  -1.2 
C)  2.3 
D)  1.9 
A)  -1.6 
B)  -1.2 
C)  2.3 
D)  1.9

Question 13

Graph the solution set of the system of inequalities.
-$\begin{array}{l}
\frac{x^{2}}{9}-\frac{y^{2}}{16} \geq 1 \
x^{2}+y^{2} \leq 36
\end{array}$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 14

Give all solutions of the nonlinear system of equations, including those with nonreal complex components.
-$$\begin{aligned}
x ^ { 2 } - 3 y ^ { 2 } & = 1 \
4 x ^ { 2 } + 3 y ^ { 2 } & = 19
\end{aligned}$$

Accepted Answer

A)  $\{ ( 1,2 ) , ( - 1,2 ) , ( 1 , - 2 ) , ( - 1 , - 2 ) \}$ 
B)  $\{ ( - 1,2 ) , ( 1 , - 2 ) \}$ 
C)  $\{ ( 2,1 ) , ( 2 , - 1 ) , ( - 2,1 ) , ( - 2 , - 1 ) \}$ 
D)  $\{ ( 2,1 ) , ( - 2 , - 1 ) \}$ 
A)  $\{ ( 1,2 ) , ( - 1,2 ) , ( 1 , - 2 ) , ( - 1 , - 2 ) \}$ 
B)  $\{ ( - 1,2 ) , ( 1 , - 2 ) \}$ 
C)  $\{ ( 2,1 ) , ( 2 , - 1 ) , ( - 2,1 ) , ( - 2 , - 1 ) \}$ 
D)  $\{ ( 2,1 ) , ( - 2 , - 1 ) \}$

Question 15

Use the given row transformation to change the matrix as indicated.
-$\left[ \begin{array} { r r r } 6 & 5 & 12 \ 5 & - 2 & 7 \ 4 & 2 & 2 \end{array} \right] ; - 6$ times row 3 added to row 1

Accepted Answer

A) 
$\left[ \begin{array} { r r r } 6 & 5 & 1 \ 5 & - 2 & 7 \ - 24 & - 12 & - 12 \end{array} \right]$ 
B) 
$\left[ \begin{array} { r r r } - 18 & - 7 & 0 \ 5 & - 2 & 7 \ 4 & 2 & 2 \end{array} \right]$ 
C) 
$\left[ \begin{array} { r r r } 6 & 5 & 12 \ - 19 & - 14 & - 5 \ - 24 & - 12 & - 12 \end{array} \right]$ 
D) 
$\left[ \begin{array} { r r r } 10 & 7 & 0 \ 5 & - 2 & 7 \ 4 & 2 & 2 \end{array} \right]$ 
A) 
$\left[ \begin{array} { r r r } 6 & 5 & 1 \ 5 & - 2 & 7 \ - 24 & - 12 & - 12 \end{array} \right]$ 
B) 
$\left[ \begin{array} { r r r } - 18 & - 7 & 0 \ 5 & - 2 & 7 \ 4 & 2 & 2 \end{array} \right]$ 
C) 
$\left[ \begin{array} { r r r } 6 & 5 & 12 \ - 19 & - 14 & - 5 \ - 24 & - 12 & - 12 \end{array} \right]$ 
D) 
$\left[ \begin{array} { r r r } 10 & 7 & 0 \ 5 & - 2 & 7 \ 4 & 2 & 2 \end{array} \right]$

Question 16

Solve the problem.
-The sum of a student's three scores is 214 . If the first is 21 points more than the second, and the sum of the first two is 25 more than twice the third, what was the first score?

Accepted Answer

A)  63 points 
B)  65 points 
C)  42 points 
D)  86 points 
A)  63 points 
B)  65 points 
C)  42 points 
D)  86 points

Question 17

Use a graphing calculator to solve the nonlinear system. Give x- and y-coordinates to the nearest hundredth.
-$$\begin{array} { l } 
y = e ^ { x + 3 } \
x ^ { 2 } - 4 y ^ { 2 } = 11
\end{array}$$

Accepted Answer

A)  $\{ ( 2.75,1.28 ) \}$ 
B)  $\{ ( 2.75 , - 1.28 ) \}$ 
C)  $\{ ( 1.04 , - 0.14 ) , ( 3.52 , - 1.69 ) \}$ 
D)  $\{ ( - 3.52,0.59 ) \}$ 
A)  $\{ ( 2.75,1.28 ) \}$ 
B)  $\{ ( 2.75 , - 1.28 ) \}$ 
C)  $\{ ( 1.04 , - 0.14 ) , ( 3.52 , - 1.69 ) \}$ 
D)  $\{ ( - 3.52,0.59 ) \}$

Question 18

Use a graphing calcula tor to find the inverse of the matrix. Give five decimal places, if necessary.
-$A=\left[\begin{array}{cc}
\sqrt{3} & -4 \
\frac{2}{7} & 0.932
\end{array}\right]$

Accepted Answer

A) 
$\left[\begin{array}{cc}
0.33803 & 1.45078 \
-0.10363 & 0.62821
\end{array}\right]$ 
B) 
$\left[\begin{array}{lr}
1.97703 & -8.48511 \
-0.60608 & 3.67416
\end{array}\right]$. 
C) $\left[\begin{array}{lr}
1.97703 & -8.48511 \
-0.60608 & 3.67416
\end{array}\right]$ 
D) 
$\left[\begin{array}{ll}
0 & 1 \
1 & 0
\end{array}\right]$ 
A) 
$\left[\begin{array}{cc}
0.33803 & 1.45078 \
-0.10363 & 0.62821
\end{array}\right]$ 
B) 
$\left[\begin{array}{lr}
1.97703 & -8.48511 \
-0.60608 & 3.67416
\end{array}\right]$. 
C) $\left[\begin{array}{lr}
1.97703 & -8.48511 \
-0.60608 & 3.67416
\end{array}\right]$ 
D) 
$\left[\begin{array}{ll}
0 & 1 \
1 & 0
\end{array}\right]$

Question 19

Use Cramer's rule to solve the system of equations. If D = 0, use another method to determine the solution set.
-$$\begin{array} { c } 
- 5 x + 2 z = - 26 \
7 x + 9 y + 4 z = 113 \
- 9 x - 6 y \quad = - 96
\end{array}$$

Accepted Answer

A)  $\{ ( 7,2,7 ) \}$ 
B)  $( \{ 7,5,2 ) \}$ 
C)  $\{ ( 6,7,2 ) \}$ 
D)  $\{ ( 6 , - 7 , - 2 ) \}$ 
A)  $\{ ( 7,2,7 ) \}$ 
B)  $( \{ 7,5,2 ) \}$ 
C)  $\{ ( 6,7,2 ) \}$ 
D)  $\{ ( 6 , - 7 , - 2 ) \}$

Question 20

Provide an appropriate response.
-Indicate whether the following statement is Interchanging corresponding rows and 
columns of a matrix changes the sign of the determinant of the matrix.

Accepted Answer

A) True 
 B)False

Use Cramer's rule to solve the system of equations. If D = 0, use another method to determine the solution set. - 8x-5y=25 2x+2y=-10

Perform the operation or operations when possible. - $\left[ \begin{array} { r r } - 1 & 5 \\0 & 4 \\8 & - 4\end{array} \right] - \left[ \begin{array} { l l } 2 & 1 \\7 & 4 \\4 & 2\end{array} \right]$

Graph the solution set of the system of inequalities. - x\leq0 y\leq0 +\geq9 y+x\geq-5 $Graph the solution set of the system of inequalities. - \begin{array} { l } x \leq 0 \\ y \leq 0 \\ x ^ { 2 } + y ^ { 2 } \geq 9 \\ y + x \geq - 5 \end{array}$

Find the partial fraction decomposition for the rational expression. - $\frac { 45 x ^ { 2 } - 5 x ^ { 3 } } { x ^ { 2 } ( 9 - x ) }$

Provide an appropriate response. -For a certain system of two linear equations, the values of the determinants used in Cramer's rule are $D = - 24 , D _ { X } = 1$ , and $D _ { y } = - 11$ . What is the solution set of the system?

Determine the system of inequalities illustrated in the graph. Write inequalities in standard form. -

Decide whether or not the matrices are inverses of each other. - $\left[ \begin{array} { r r r } 2 & - 1 & 0 \\- 1 & 1 & - 2 \\1 & 0 & - 1\end{array} \right] \text { and } \left[ \begin{array} { r r r } 1 & - 1 & 2 \\- 3 & - 2 & 4 \\- 1 & 1 & 1\end{array} \right]$

Find the indicated matrix. -Let $A = \left[ \begin{array} { l l } 2 & 3 \\ 2 & 5 \end{array} \right]$ and $B = \left[ \begin{array} { r r } 0 & 4 \\ - 1 & 6 \end{array} \right]$ . Find $4 A + B$ .

Which method should be used to solve the system? Explain your answer, including a description of the first step. - $- 3 x - 5 y \leq 15$ $Which method should be used to solve the system? Explain your answer, including a description of the first step. - - 3 x - 5 y \leq 15$

Graph the solution set of the system of inequalities. - -\geq1 +\leq36 $Graph the solution set of the system of inequalities. - \begin{array}{l} \frac{x^{2}}{9}-\frac{y^{2}}{16} \geq 1 \\ x^{2}+y^{2} \leq 36 \end{array}$

Give all solutions of the nonlinear system of equations, including those with nonreal complex components. - -3 =1 4+3 =19

Use the given row transformation to change the matrix as indicated. - $\left[ \begin{array} { r r r } 6 & 5 & 12 \\ 5 & - 2 & 7 \\ 4 & 2 & 2 \end{array} \right] ; - 6$ times row 3 added to row 1

Solve the problem. -The sum of a student's three scores is 214 . If the first is 21 points more than the second, and the sum of the first two is 25 more than twice the third, what was the first score?

Use a graphing calculator to solve the nonlinear system. Give x- and y-coordinates to the nearest hundredth. - y= -4=11

Use a graphing calcula tor to find the inverse of the matrix. Give five decimal places, if necessary. - $A=\left[\begin{array}{cc}\sqrt{3} & -4 \\\frac{2}{7} & 0.932\end{array}\right]$

Use Cramer's rule to solve the system of equations. If D = 0, use another method to determine the solution set. - -5x+2z=-26 7x+9y+4z=113 -9x-6y=-96

Provide an appropriate response. -Indicate whether the following statement is Interchanging corresponding rows and columns of a matrix changes the sign of the determinant of the matrix.

Review of Basic Concepts

Equations and Inequalities

Graphs and Functions

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Trigonometric Functions

The Circular Functions and Their Graphs

Trigonometric Identities and Equations

Applications of Trigonometry

Analytic Geometry

Further Topics in Algebra

Filters

Exam 10: Systems and Matrices

Use Cramer's rule to solve the system of equations. If D = 0, use another method to determine the solution set. - 8x-5y=25 2x+2y=-10

Perform the operation or operations when possible. - [−15048−4]−[217442]\left[ \begin{array} { r r } - 1 & 5 \\0 & 4 \\8 & - 4\end{array} \right] - \left[ \begin{array} { l l } 2 & 1 \\7 & 4 \\4 & 2\end{array} \right]​−108​54−4​​−​274​142​​

Graph the solution set of the system of inequalities. - x\leq0 y\leq0 +\geq9 y+x\geq-5

Find the partial fraction decomposition for the rational expression. - 45x2−5x3x2(9−x)\frac { 45 x ^ { 2 } - 5 x ^ { 3 } } { x ^ { 2 } ( 9 - x ) }x2(9−x)45x2−5x3​

Provide an appropriate response. -For a certain system of two linear equations, the values of the determinants used in Cramer's rule are D=−24,DX=1D = - 24 , D _ { X } = 1D=−24,DX​=1 , and Dy=−11D _ { y } = - 11Dy​=−11 . What is the solution set of the system?

Determine the system of inequalities illustrated in the graph. Write inequalities in standard form. -

The graph shows the region of feasible solutions. Find the maximum or minimum value, as specified, of the objective function. - objective function =5x+3y; minimum \text { objective function } = 5 x + 3 y ; \text { minimum } objective function =5x+3y; minimum

Find the indicated matrix. -Let A=[2325]A = \left[ \begin{array} { l l } 2 & 3 \\ 2 & 5 \end{array} \right]A=[22​35​] and B=[04−16]B = \left[ \begin{array} { r r } 0 & 4 \\ - 1 & 6 \end{array} \right]B=[0−1​46​] . Find 4A+B4 A + B4A+B .

Which method should be used to solve the system? Explain your answer, including a description of the first step. - −3x−5y≤15- 3 x - 5 y \leq 15−3x−5y≤15

Graph the solution set of the system of inequalities. - -\geq1 +\leq36

Give all solutions of the nonlinear system of equations, including those with nonreal complex components. - -3 =1 4+3 =19

Use the given row transformation to change the matrix as indicated. - [65125−27422];−6\left[ \begin{array} { r r r } 6 & 5 & 12 \\ 5 & - 2 & 7 \\ 4 & 2 & 2 \end{array} \right] ; - 6​654​5−22​1272​​;−6 times row 3 added to row 1

Solve the problem. -The sum of a student's three scores is 214 . If the first is 21 points more than the second, and the sum of the first two is 25 more than twice the third, what was the first score?

Use a graphing calculator to solve the nonlinear system. Give x- and y-coordinates to the nearest hundredth. - y= -4=11

Use a graphing calcula tor to find the inverse of the matrix. Give five decimal places, if necessary. - A=[3−4270.932]A=\left[\begin{array}{cc}\sqrt{3} & -4 \\\frac{2}{7} & 0.932\end{array}\right]A=[3​72​​−40.932​]

Use Cramer's rule to solve the system of equations. If D = 0, use another method to determine the solution set. - -5x+2z=-26 7x+9y+4z=113 -9x-6y=-96

Provide an appropriate response. -Indicate whether the following statement is Interchanging corresponding rows and columns of a matrix changes the sign of the determinant of the matrix.

Review of Basic Concepts

Equations and Inequalities

Graphs and Functions

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Trigonometric Functions

The Circular Functions and Their Graphs

Trigonometric Identities and Equations

Applications of Trigonometry

Analytic Geometry

Further Topics in Algebra

Filters

Perform the operation or operations when possible. - $\left[ \begin{array} { r r } - 1 & 5 \\0 & 4 \\8 & - 4\end{array} \right] - \left[ \begin{array} { l l } 2 & 1 \\7 & 4 \\4 & 2\end{array} \right]$

Graph the solution set of the system of inequalities. - x\leq0 y\leq0 +\geq9 y+x\geq-5 $Graph the solution set of the system of inequalities. - \begin{array} { l } x \leq 0 \\ y \leq 0 \\ x ^ { 2 } + y ^ { 2 } \geq 9 \\ y + x \geq - 5 \end{array}$

Find the partial fraction decomposition for the rational expression. - $\frac { 45 x ^ { 2 } - 5 x ^ { 3 } } { x ^ { 2 } ( 9 - x ) }$

Provide an appropriate response. -For a certain system of two linear equations, the values of the determinants used in Cramer's rule are $D = - 24 , D _ { X } = 1$ , and $D _ { y } = - 11$ . What is the solution set of the system?

Find the indicated matrix. -Let $A = \left[ \begin{array} { l l } 2 & 3 \\ 2 & 5 \end{array} \right]$ and $B = \left[ \begin{array} { r r } 0 & 4 \\ - 1 & 6 \end{array} \right]$ . Find $4 A + B$ .

Which method should be used to solve the system? Explain your answer, including a description of the first step. - $- 3 x - 5 y \leq 15$ $Which method should be used to solve the system? Explain your answer, including a description of the first step. - - 3 x - 5 y \leq 15$

Graph the solution set of the system of inequalities. - -\geq1 +\leq36 $Graph the solution set of the system of inequalities. - \begin{array}{l} \frac{x^{2}}{9}-\frac{y^{2}}{16} \geq 1 \\ x^{2}+y^{2} \leq 36 \end{array}$

Use the given row transformation to change the matrix as indicated. - $\left[ \begin{array} { r r r } 6 & 5 & 12 \\ 5 & - 2 & 7 \\ 4 & 2 & 2 \end{array} \right] ; - 6$ times row 3 added to row 1

Use a graphing calcula tor to find the inverse of the matrix. Give five decimal places, if necessary. - $A=\left[\begin{array}{cc}\sqrt{3} & -4 \\\frac{2}{7} & 0.932\end{array}\right]$