Question 1

Determine the order of the matrix.

Accepted Answer

A)  1 × 1 
B)  3 
C)  3 × 3 
D)  3 × 1 
E)  1 × 3 
A)  1 × 1 
B)  3 
C)  3 × 3 
D)  3 × 1 
E)  1 × 3

Question 2

Solve for x given the following equation involving a determinant.

Accepted Answer

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

Question 3

Use a determinant to determine whether the points   and   are collinear. Show all work.

Accepted Answer

@#IMG-DLM& ; therefo

Question 4

Write a cryptogram for the message "TWO IF BY LAND" using the matrix   . Show all your work.

Accepted Answer

The answer of Write a cryptogram for the message "TWO...

Question 5

Use the matrix capabilities of a graphing utility to write the matrix in reduced row-echelon form.

Accepted Answer

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

Question 6

Use matrices to solve the system of equations (if possible). Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.

Accepted Answer

A)  x = 5, y = -1 
B)  x = 1, y = -5 
C)  x = -1, y = 5 
D)  x = 5, y = 1 
E)  no solution 
A)  x = 5, y = -1 
B)  x = 1, y = -5 
C)  x = -1, y = 5 
D)  x = 5, y = 1 
E)  no solution

Question 7

Solve the system of linear equations   using the inverse matrix   .

Accepted Answer

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

Question 8

Solve the system of linear equations   using the inverse matrix   .

Accepted Answer

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

Question 9

If possible, find AB.

Accepted Answer

A)    
B)  not possible 
C)    
D)    
E)    
A)    
B)  not possible 
C)    
D)    
E)

Question 10

Use the matrix capabilities of a graphing utility to find AB, if possible.

Accepted Answer

A)    
B)    
C)    
D)  not possible 
E)    
A)    
B)    
C)    
D)  not possible 
E)

Question 11

Find x and y.

Accepted Answer

A)  x = 2, y = 5 
B)  x = 2, y = 2 
C)  x = -2, y = -5 
D)  x = 5, y = 2 
E)  x = -3, y = 1 
A)  x = 2, y = 5 
B)  x = 2, y = 2 
C)  x = -2, y = -5 
D)  x = 5, y = 2 
E)  x = -3, y = 1

Question 12

Evaluate the determinant of the matrix below to determine which of the following makes the equation true.

Accepted Answer

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

Question 13

Use Cramer's Rule to solve the following system of linear equations:

Accepted Answer

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

Question 14

Find the inverse of the matrix   .

Accepted Answer

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

Question 15

Use matrices to solve the system of equations (if possible). Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. Show all of your work.

Accepted Answer

Answer details may v

Question 16

Write the system of linear equations as a matrix equation AX = B, and use Gauss-Jordan elimination on the augmented matrix   to solve for the matrix X. Show all your work.

Accepted Answer

The answer of Write the system of linear equations as...

Question 17

Evaluate the expression.

Accepted Answer

A)    
B)    
C)    
D)  not possible 
E)    
A)    
B)    
C)    
D)  not possible 
E)

Question 18

Show that B is the inverse of
A. Show all your work.

Accepted Answer

The answer of Show that B is the inverse of
A....

Question 19

Use a system of equations to find the specified equation that passes through the points. Solve the system using matrices. Parabola: y = ax2 + bx + c

Accepted Answer

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

Question 20

Determine the order of the matrix.

Accepted Answer

A)  3 × 3 
B)  2 × 2 
C)  3 × 1 
D)  2 × 3 
E)  3 × 2 
A)  3 × 3 
B)  2 × 2 
C)  3 × 1 
D)  2 × 3 
E)  3 × 2

Determine the order of the matrix.

Solve for x given the following equation involving a determinant.

Use a determinant to determine whether the points and are collinear. Show all work.

Write a cryptogram for the message "TWO IF BY LAND" using the matrix . Show all your work.

Use the matrix capabilities of a graphing utility to write the matrix in reduced row-echelon form.

Use matrices to solve the system of equations (if possible). Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.

Solve the system of linear equations using the inverse matrix .

Solve the system of linear equations using the inverse matrix .

If possible, find AB.

Use the matrix capabilities of a graphing utility to find AB, if possible.

Find x and y.

Evaluate the determinant of the matrix below to determine which of the following makes the equation true.

Use Cramer's Rule to solve the following system of linear equations:

Find the inverse of the matrix .

Use matrices to solve the system of equations (if possible). Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. Show all of your work.

Write the system of linear equations as a matrix equation AX = B, and use Gauss-Jordan elimination on the augmented matrix to solve for the matrix X. Show all your work.

Evaluate the expression.

Show that B is the inverse of A. Show all your work.

Use a system of equations to find the specified equation that passes through the points. Solve the system using matrices. Parabola: y = ax² + bx + c

Determine the order of the matrix.

Prerequisites

Equations, Inequalities, and Mathematical Modeling

Functions and Their Graphs

Polynomial Functions

Rational Functions and Conics

Exponential and Logarithmic Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Systems of Equations and Inequalities

Filters

Exam 10: Matrices and Determinants

Determine the order of the matrix.

Solve for x given the following equation involving a determinant.

Use a determinant to determine whether the points and are collinear. Show all work.

Write a cryptogram for the message "TWO IF BY LAND" using the matrix . Show all your work.

Use the matrix capabilities of a graphing utility to write the matrix in reduced row-echelon form.

Use matrices to solve the system of equations (if possible). Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.

Solve the system of linear equations using the inverse matrix .

Solve the system of linear equations using the inverse matrix .

If possible, find AB.

Use the matrix capabilities of a graphing utility to find AB, if possible.

Find x and y.

Evaluate the determinant of the matrix below to determine which of the following makes the equation true.

Use Cramer's Rule to solve the following system of linear equations:

Find the inverse of the matrix .

Use matrices to solve the system of equations (if possible). Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. Show all of your work.

Write the system of linear equations as a matrix equation AX = B, and use Gauss-Jordan elimination on the augmented matrix to solve for the matrix X. Show all your work.

Evaluate the expression.

Show that B is the inverse of A. Show all your work.

Use a system of equations to find the specified equation that passes through the points. Solve the system using matrices. Parabola: y = ax2 + bx + c

Determine the order of the matrix.

Prerequisites

Equations, Inequalities, and Mathematical Modeling

Functions and Their Graphs

Polynomial Functions

Rational Functions and Conics

Exponential and Logarithmic Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Systems of Equations and Inequalities

Filters

Use a system of equations to find the specified equation that passes through the points. Solve the system using matrices. Parabola: y = ax² + bx + c