Question 1

Find (AB) if   and

Accepted Answer

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

Question 2

Find the inverse of the matrix   using elementary matrices.

Accepted Answer

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

Question 3

Which of the following is the LU-factorization of the matrix

Accepted Answer

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

Question 4

Find   of the matrix   to decode the cryptogram. 11 , 21 , 64 , 112 , 25 , 50 , 29 , 49 , 78 , 136 , 20 , 36 , 76 , 127

Accepted Answer

A)  HAPPY_NEW_YEAR 
B)  MEET_ME_FRIDAY 
C)  MEET_ME_SUNDAY 
D)  MEET_ME_MONDAY 
E)  HAPPY_BIRTHDAY 
A)  HAPPY_NEW_YEAR 
B)  MEET_ME_FRIDAY 
C)  MEET_ME_SUNDAY 
D)  MEET_ME_MONDAY 
E)  HAPPY_BIRTHDAY

Question 5

Find B(CA), provided that   ,   ,

Accepted Answer

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

Question 6

Find the inverse of the matrix

Accepted Answer

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

Question 7

The market research department at a manufacturing plant determines that 30% of the people who purchase the plant's product during any month will not purchase it the next month. On the other hand, 60% of the people who do not purchase the product during any month will purchase it the next month. In a population of 1000 people, 200 people purchased the product this month. How many will purchase the product in 2 months?

Accepted Answer

A)  638 people 
B)  830 people 
C)  744 people 
D)  812 people 
E)  662 people 
A)  638 people 
B)  830 people 
C)  744 people 
D)  812 people 
E)  662 people

Question 8

Find the uncoded row matrices of the size for the message: SELL CONSOLIDATED. Then encode the message using the matrix

Accepted Answer

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

Question 9

Find the inverse of the matrix

Accepted Answer

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

Question 10

Which of the following is the LU-factorization of the matrix

Accepted Answer

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

Question 11

Use inverse matrices to solve the system of linear equations.

Accepted Answer

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

Question 12

Solve   for X when   and

Accepted Answer

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

Question 13

Use inverse matrices to solve the system of linear equations.

Accepted Answer

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

Question 14

Let   ,   . Find an elementary matrix E such that   .

Accepted Answer

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

Question 15

Write the transpose of matrix A.

Accepted Answer

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

Question 16

Use the following matrices to perform the indicated matrix operations, if possible.      ,

Accepted Answer

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

Question 17

Consider the matrices   ,   ,   . Find scalars a and b such that   .

Accepted Answer

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

Question 18

Use the provided definition to find f(A): If f is the polynomial function,   , then for an   matrix A, f ( A ) is defined to be   . Given that   ,   .

Accepted Answer

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

Question 19

Given that matrix   . Find the inverse matrix.

Accepted Answer

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

Question 20

Indicate whether the statement "If A is a   matrix and B is a   matrix, then the product   is a   matrix."is

Accepted Answer

A) True 
 B)False

Find (AB) if and

Find the inverse of the matrix using elementary matrices.

Which of the following is the LU-factorization of the matrix

Find of the matrix to decode the cryptogram. 11 , 21 , 64 , 112 , 25 , 50 , 29 , 49 , 78 , 136 , 20 , 36 , 76 , 127

Find B(CA), provided that , ,

Find the inverse of the matrix

Find the uncoded row matrices of the size for the message: SELL CONSOLIDATED. Then encode the message using the matrix

Find the inverse of the matrix

Which of the following is the LU-factorization of the matrix

Use inverse matrices to solve the system of linear equations.

Solve for X when and

Use inverse matrices to solve the system of linear equations.

Let , . Find an elementary matrix E such that .

Write the transpose of matrix A.

Use the following matrices to perform the indicated matrix operations, if possible. ,

Consider the matrices , , . Find scalars a and b such that .

Use the provided definition to find f(A): If f is the polynomial function, , then for an matrix A, f ( A ) is defined to be . Given that , .

Given that matrix . Find the inverse matrix.

Indicate whether the statement "If A is a matrix and B is a matrix, then the product is a matrix."is

Linear Equations

Determinants

Vector Spaces

Inner Product Spaces

Linear Transformations

Eigenvalues Eigenvectors

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Exam 2: Matrices

Find (AB) if and

Find the inverse of the matrix using elementary matrices.

Which of the following is the LU-factorization of the matrix

Find of the matrix to decode the cryptogram. 11 , 21 , 64 , 112 , 25 , 50 , 29 , 49 , 78 , 136 , 20 , 36 , 76 , 127

Find B(CA), provided that , ,

Find the inverse of the matrix

Find the uncoded row matrices of the size for the message: SELL CONSOLIDATED. Then encode the message using the matrix

Find the inverse of the matrix

Which of the following is the LU-factorization of the matrix

Use inverse matrices to solve the system of linear equations.

Solve for X when and

Use inverse matrices to solve the system of linear equations.

Let , . Find an elementary matrix E such that .

Write the transpose of matrix A.

Use the following matrices to perform the indicated matrix operations, if possible. ,

Consider the matrices , , . Find scalars a and b such that .

Use the provided definition to find f(A): If f is the polynomial function, , then for an matrix A, f ( A ) is defined to be . Given that , .

Given that matrix . Find the inverse matrix.

Indicate whether the statement "If A is a matrix and B is a matrix, then the product is a matrix."is

Linear Equations

Determinants

Vector Spaces

Inner Product Spaces

Linear Transformations

Eigenvalues Eigenvectors

Filters