Question 1

Use a determinant and the given vertices of a triangle to find the area of the triangle.  
(0, -3), (-3, 3), (4, 4)

Accepted Answer

A)  $\frac { 4 } { 7 }$ 
B)  $\frac { 5 } { 11 }$ 
C)  $\frac { 45 } { 2 }$ 
D)  $\frac { 4 } { 19 }$ 
E) 45 
A)  $\frac { 4 } { 7 }$ 
B)  $\frac { 5 } { 11 }$ 
C)  $\frac { 45 } { 2 }$ 
D)  $\frac { 4 } { 19 }$ 
E) 45

Question 2

Select the augmented matrix for the system of linear equations.   $\left\{ \begin{aligned}
6 x - 5 y & = - 7 \
- x + 5 y & = 15
\end{aligned} \right.$

Accepted Answer

A)   $\left[ \begin{array} { c c c } 
5 & - 6 & \vdots&- 7 \
5 & - 1 &\vdots& 15
\end{array} \right]$ 
B)  $\left[ \begin{array} { c c c } 
6&5 & \vdots&- 7 \
 - 1 &5&\vdots& 15
\end{array} \right]$ 
C)  $\left[ \begin{array} { c c c } 
6&5 & \vdots& 7 \
 1 &5&\vdots& 15
\end{array} \right]$ 
D)  $\left[ \begin{array} { c c c } 
6&-5 & \vdots&- 7 \
 - 1 &5&\vdots& 15
\end{array} \right]$ 
E)  $\left[ \begin{array} { c c c } 
5&6 & \vdots& 7 \
5&-1&\vdots& 15
\end{array} \right]$ 
A)   $\left[ \begin{array} { c c c } 
5 & - 6 & \vdots&- 7 \
5 & - 1 &\vdots& 15
\end{array} \right]$ 
B)  $\left[ \begin{array} { c c c } 
6&5 & \vdots&- 7 \
 - 1 &5&\vdots& 15
\end{array} \right]$ 
C)  $\left[ \begin{array} { c c c } 
6&5 & \vdots& 7 \
 1 &5&\vdots& 15
\end{array} \right]$ 
D)  $\left[ \begin{array} { c c c } 
6&-5 & \vdots&- 7 \
 - 1 &5&\vdots& 15
\end{array} \right]$ 
E)  $\left[ \begin{array} { c c c } 
5&6 & \vdots& 7 \
5&-1&\vdots& 15
\end{array} \right]$

Question 3

Solve the system of linear equations.   $\left\{ \begin{array} { c } 
x - 2 y = 6 \
2 x - 3 y = 4
\end{array} \right.$

Accepted Answer

A)   $( - 10 , - 8 )$ 
B)   $( - 10,8 )$ 
C)  $( - 10,4 )$ 
D)   $( - 4 , - 10 )$ 
E)   $( 10,8 )$ 
A)   $( - 10 , - 8 )$ 
B)   $( - 10,8 )$ 
C)  $( - 10,4 )$ 
D)   $( - 4 , - 10 )$ 
E)   $( 10,8 )$

Use a determinant and the given vertices of a triangle to find the area of the triangle. (0, -3), (-3, 3), (4, 4)

Select the augmented matrix for the system of linear equations. $\left\{ \begin{aligned}6 x - 5 y & = - 7 \\- x + 5 y & = 15\end{aligned} \right.$

Solve the system of linear equations. $\left\{ \begin{array} { c } x - 2 y = 6 \\2 x - 3 y = 4\end{array} \right.$

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometry

Analytic Trigonometry

Additional Topics In Trigonometery

Systems Of Equations and Inequalities

Sequences Series and Probability

Topics In Analytic Geometry

Analytic Geometry In Three Dimensions

Limits and An Introduction To Calculus

Filters

Exam 8: Matrices and Determinants