Question 1

Determine if B is the multiplicative inverse of A using   = I.
A =   and B =

Accepted Answer

A) True 
 B)False  True

Question 2

Perform the row operation   +   ?    on the matrix and write the resulting matrix.

Accepted Answer

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

Question 3

Solve for the indicated variables.

Accepted Answer

A)  x = 5, y = -10, z = -7 
B)  x = -10, y = 5, z = -7 
C)  x = -10, y = -5, z = -4 
D)  x = 10, y = 5, z = -7 
A)  x = 5, y = -10, z = -7 
B)  x = -10, y = 5, z = -7 
C)  x = -10, y = -5, z = -4 
D)  x = 10, y = 5, z = -7 B

Question 4

Solve the system of linear equations for x, y, and z using Gauss-Jordan elimination.

Accepted Answer

A)  (-2, 4, -3) 
B)  (-3, 4, 2) 
C)  (2, 4, -3) 
D)  (4, -3, 2) 
A)  (-2, 4, -3) 
B)  (-3, 4, 2) 
C)  (2, 4, -3) 
D)  (4, -3, 2)

Question 5

Evaluate the 2 × 2 determinant.

Accepted Answer

A)  36 
B)  0 
C)  -36 
D)  10 
A)  36 
B)  0 
C)  -36 
D)  10

Question 6

Write the order of the matrix.

Accepted Answer

A)  3 × 3 
B)  2 × 2 
C)  2 × 3 
D)  3 × 2 
A)  3 × 3 
B)  2 × 2 
C)  2 × 3 
D)  3 × 2

Question 7

Find   given that A =   .

Accepted Answer

The answer of Find   given that A =...

Question 8

Perform the row operation -2   +   ?    on the matrix and write the resulting matrix.

Accepted Answer

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

Question 9

Find the values of a, b, and c such that the graph of the quadratic function   passes through the points     and

Accepted Answer

a = 4, b =

Question 10

Calculate   if A =   .

Accepted Answer

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

Question 11

Solve for the indicated variables.

Accepted Answer

A)  (-4, 5) 
B)  (-1, 6) 
C)  (2, 8) 
D)  (4, 5) 
A)  (-4, 5) 
B)  (-1, 6) 
C)  (2, 8) 
D)  (4, 5)

Question 12

Write the system of linear equations as a matrix equation.

Accepted Answer

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

Question 13

Solve the system of linear equations using Gaussian elimination with back-substitution.
5x + 8y + 8z = 29
2x + 8y + 3z = 31
2x + 4y + 6z = 12

Accepted Answer

A)  (4, -1, 1) 
B)  (-1, 1, 4) 
C)  (1, -1, 4) 
D)  (1, 4, -1) 
A)  (4, -1, 1) 
B)  (-1, 1, 4) 
C)  (1, -1, 4) 
D)  (1, 4, -1)

Question 14

Apply the matrix algebra to solve the system of linear equations.

Accepted Answer

A)  (2, -3, 5) 
B)  (-3, 2, 5) 
C)  (5, 2, -3) 
D)  (5, -3, 2) 
A)  (2, -3, 5) 
B)  (-3, 2, 5) 
C)  (5, 2, -3) 
D)  (5, -3, 2)

Question 15

Perform the row operation   +   ?    on the matrix and write the resulting matrix.

Accepted Answer

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

Question 16

Use Cramer's Rule to either solve the system of equations, determine if the system is inconsistent (no solution), or dependent (infinitely many solutions).

Accepted Answer

A)  (5, -1, -2) 
B)  (5, 2, 5) 
C)  inconsistent 
D)  dependent 
A)  (5, -1, -2) 
B)  (5, 2, 5) 
C)  inconsistent 
D)  dependent

Question 17

Evaluate the 2 × 2 determinant.

Accepted Answer

A)  -15.88 
B)  11.32 
C)  15.88 
D)  -1.3 
A)  -15.88 
B)  11.32 
C)  15.88 
D)  -1.3

Question 18

Write the order of the matrix.

Accepted Answer

A)  3 × 3 
B)  2 × 2 
C)  2 × 3 
D)  3 × 2 
A)  3 × 3 
B)  2 × 2 
C)  2 × 3 
D)  3 × 2

Question 19

Write the system of linear equations as a matrix equation.

Accepted Answer

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

Question 20

Calculate -4A - 5B if A =   and B =   .

Accepted Answer

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

Determine if B is the multiplicative inverse of A using = I. A = and B =

Perform the row operation + ? on the matrix and write the resulting matrix.

Solve for the indicated variables.

Solve the system of linear equations for x, y, and z using Gauss-Jordan elimination.

Evaluate the 2 × 2 determinant.

Write the order of the matrix.

Find given that A = .

Perform the row operation -2 + ? on the matrix and write the resulting matrix.

Find the values of a, b, and c such that the graph of the quadratic function passes through the points and

Calculate if A = .

Solve for the indicated variables.

Write the system of linear equations as a matrix equation.

Solve the system of linear equations using Gaussian elimination with back-substitution. 5x + 8y + 8z = 29 2x + 8y + 3z = 31 2x + 4y + 6z = 12

Apply the matrix algebra to solve the system of linear equations.

Perform the row operation + ? on the matrix and write the resulting matrix.

Use Cramer's Rule to either solve the system of equations, determine if the system is inconsistent (no solution), or dependent (infinitely many solutions).

Evaluate the 2 × 2 determinant.

Write the order of the matrix.

Write the system of linear equations as a matrix equation.

Calculate -4A - 5B if A = and B = .

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Exam 7: Matrices

Determine if B is the multiplicative inverse of A using = I. A = and B =

Perform the row operation + ? on the matrix and write the resulting matrix.

Solve for the indicated variables.

Solve the system of linear equations for x, y, and z using Gauss-Jordan elimination.

Evaluate the 2 × 2 determinant.

Write the order of the matrix.

Find given that A = .

Perform the row operation -2 + ? on the matrix and write the resulting matrix.

Find the values of a, b, and c such that the graph of the quadratic function passes through the points and

Calculate if A = .

Solve for the indicated variables.

Write the system of linear equations as a matrix equation.

Solve the system of linear equations using Gaussian elimination with back-substitution. 5x + 8y + 8z = 29 2x + 8y + 3z = 31 2x + 4y + 6z = 12

Apply the matrix algebra to solve the system of linear equations.

Perform the row operation + ? on the matrix and write the resulting matrix.

Use Cramer's Rule to either solve the system of equations, determine if the system is inconsistent (no solution), or dependent (infinitely many solutions).

Evaluate the 2 × 2 determinant.

Write the order of the matrix.

Write the system of linear equations as a matrix equation.

Calculate -4A - 5B if A = and B = .

Equations and Inequalities

Graphs

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Systems of Linear Equations and Inequalities

Conics and Systems of Nonlinear Equations and Inequalities

Sequences, Series, and Probability

Filters