Question 1

An n × m matrix when added to a p × m matrix (p < m), yields

Accepted Answer

A) an n × m matrix. 
B) an n × p matrix. 
C) an m × p matrix. 
D) Matrices of these dimensions cannot be added. 
A) an n × m matrix. 
B) an n × p matrix. 
C) an m × p matrix. 
D) Matrices of these dimensions cannot be added.

Question 2

Find the inverse of   .

Accepted Answer

The answer of Find the inverse of   ....

Question 3

The correct determinant value for the determinant   would be

Accepted Answer

A) 0. 
B) 1. 
C) -1. 
D) -2. 
A) 0. 
B) 1. 
C) -1. 
D) -2.

Question 4

The value of the determinant   is

Accepted Answer

A) 30. 
B) 42. 
C) 16. 
D) 20. 
A) 30. 
B) 42. 
C) 16. 
D) 20.

Question 5

=

Accepted Answer

A) 0 
B) 3 
C) -5 
D) -3 
A) 0 
B) 3 
C) -5 
D) -3

Question 6

We can find only the inverse of square matrices.

Accepted Answer

A) True 
 B)False

Question 7

A determinant has a single numerical value.

Accepted Answer

A) True 
 B)False

Question 8

Evaluate   ×   .

Accepted Answer

The answer of Evaluate   ×   ....

Question 9

A cofactor of a matrix is the set of numbers that remains after a given row and column have been removed from a matrix.

Accepted Answer

A) True 
 B)False

Question 10

×   =

Accepted Answer

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

Question 11

Which of the following mathematical operations cannot be performed on matrices?

Accepted Answer

A) matrix addition, subtraction, and multiplication 
B) matrix inversion 
C) transposing a matrix 
D) multiple regression 
A) matrix addition, subtraction, and multiplication 
B) matrix inversion 
C) transposing a matrix 
D) multiple regression

Question 12

What size matrix is yielded when an n × m matrix is added to an n × m matrix?

Accepted Answer

The answer of What size matrix is yielded when an...

Question 13

A set of simultaneous equations can be solved through the use of determinants by setting up a proportion of two special determinants for each unknown variable.

Accepted Answer

A) True 
 B)False

Question 14

The value of the determinant   is

Accepted Answer

A) ab - cd. 
B) ac - bd. 
C) ab + cd. 
D) ad - cb. 
A) ab - cd. 
B) ac - bd. 
C) ab + cd. 
D) ad - cb.

Question 15

What size matrix is yielded when an n × m matrix is multiplied by an n × p matrix?

Accepted Answer

an n × m matrix cann

Question 16

Evaluate this expression:   ×   =

Accepted Answer

A) 160 
B) 480 
C) 240 
D) 320 
A) 160 
B) 480 
C) 240 
D) 320

Question 17

=

Accepted Answer

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

Question 18

What size matrix is yielded when an n × m matrix is multiplied by an m × p matrix?

Accepted Answer

The answer of What size matrix is yielded when an...

Question 19

=

Accepted Answer

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

Question 20

What size matrix is yielded when an n × m matrix is multiplied by an m × p matrix, the result of which is multiplied by a p × r matrix?

Accepted Answer

The answer of What size matrix is yielded when an...

Exam 20: Mathematical Tools: Determinants and Matrices

An n × m matrix when added to a p × m matrix (p < m), yields

Find the inverse of .

The correct determinant value for the determinant would be

The value of the determinant is

=

We can find only the inverse of square matrices.

A determinant has a single numerical value.

Evaluate × .

A cofactor of a matrix is the set of numbers that remains after a given row and column have been removed from a matrix.

× =

Which of the following mathematical operations cannot be performed on matrices?

What size matrix is yielded when an n × m matrix is added to an n × m matrix?

A set of simultaneous equations can be solved through the use of determinants by setting up a proportion of two special determinants for each unknown variable.

The value of the determinant is

What size matrix is yielded when an n × m matrix is multiplied by an n × p matrix?

Evaluate this expression: × =

=

What size matrix is yielded when an n × m matrix is multiplied by an m × p matrix?

=

What size matrix is yielded when an n × m matrix is multiplied by an m × p matrix, the result of which is multiplied by a p × r matrix?

Introduction to Quantitative Analysis

Probability Concepts and Applications

Decision Analysis

Regression Models

Forecasting

Inventory Control Models

Linear Programming Models: Graphical and Computer Methods

Linear Programming Applications

Transportation, Assignment, and Network Models

Integer Programming, Goal Programming, and Nonlinear Programming

Project Management

Waiting Lines and Queuing Theory Models

Simulation Modeling

Markov Analysis

Statistical Quality Control

Analytic Hierarchy Process

Dynamic Programming

Decision Theory and the Normal Distribution

Game Theory

Calculus-Based Optimization

Linear Programming: The Simplex Method

Transportation, Assignment, and Network Algorithms

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