Question 1

The value of the determinant   is

Accepted Answer

A) 128. 
B) 96. 
C) 8. 
D) 232. 
E) None of the above 
A) 128. 
B) 96. 
C) 8. 
D) 232. 
E) None of the above

Question 2

To solve the following set of simultaneous equations,the determinant solution for Y would be 4X + 3Y = 7
2X - 2Y = 5

Accepted Answer

A) X =   ÷   
B) X =   ÷   
C) X =   ÷   
D) X =   ÷   
E) None of the above 
A) X =   ÷   
B) X =   ÷   
C) X =   ÷   
D) X =   ÷   
E) None of the above

Question 3

The matrix multiplication (AB),where A and B are any matrix,is equal to the matrix multiplication (BA).

Accepted Answer

A) True 
 B)False

Question 4

An n × m matrix,when multiplied by an n × m matrix,yields

Accepted Answer

A) an n × m matrix. 
B) an m × n matrix. 
C) an n2 × m2 matrix. 
D) an (n × m)2 matrix. 
E) None of the above 
A) an n × m matrix. 
B) an m × n matrix. 
C) an n2 × m2 matrix. 
D) an (n × m)2 matrix. 
E) None of the above

Question 5

The value of the determinant   is

Accepted Answer

A) 30. 
B) 42. 
C) 16. 
D) 20. 
E) None of the above 
A) 30. 
B) 42. 
C) 16. 
D) 20. 
E) None of the above

Question 6

An n × m matrix,when multiplied by an m × n matrix,yields an n × n matrix.

Accepted Answer

A) True 
 B)False

Question 7

We cannot multiply an n × m matrix by a 1 × m matrix.

Accepted Answer

A) True 
 B)False

Question 8

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 
E) None of the above 
A) matrix addition,subtraction,and multiplication 
B) matrix inversion 
C) transposing a matrix 
D) multiple regression 
E) None of the above

Question 9

Determinants are useful in solving a set of simultaneous equations.

Accepted Answer

A) True 
 B)False

Question 10

The value of the determinant   is

Accepted Answer

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

Question 11

We cannot multiply a 1 × m matrix by an n × m matrix.

Accepted Answer

A) True 
 B)False

Question 12

=

Accepted Answer

A)    
B)    
C)    
D)    
E) None of the above 
A)    
B)    
C)    
D)    
E) None of the above

Question 13

Matrices and determinants are useful for

Accepted Answer

A) Markov analysis. 
B) game theory. 
C) linear programming. 
D) All of the above 
E) None of the above 
A) Markov analysis. 
B) game theory. 
C) linear programming. 
D) All of the above 
E) None of the above

Question 14

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 15

[1 5] =

Accepted Answer

A)    
B)    
C) [0] 
D) [40 26] 
E) None of the above 
A)    
B)    
C) [0] 
D) [40 26] 
E) None of the above

Question 16

Transpose   =

Accepted Answer

A)    
B)    
C)    
D)    
E) None of the above 
A)    
B)    
C)    
D)    
E) None of the above

Question 17

Multiply matrix   by   .

Accepted Answer

A) [31 -6] 
B)    
C) [-6 31] 
D)    
E) None of the above 
A) [31 -6] 
B)    
C) [-6 31] 
D)    
E) None of the above

Question 18

Multiply matrix   by   .

Accepted Answer

A)    
B)    
C)    
D)    
E) None of the above 
A)    
B)    
C)    
D)    
E) None of the above

Question 19

An n × m matrix,when added to an n × m matrix,yields

Accepted Answer

A) an n × m matrix. 
B) an m × n matrix. 
C) a 2(n × m)matrix. 
D) a 2n × 2m matrix. 
E) None of the above 
A) an n × m matrix. 
B) an m × n matrix. 
C) a 2(n × m)matrix. 
D) a 2n × 2m matrix. 
E) None of the above

Exam 20: Mathematical Tools: Determinants and Matrices

The value of the determinant is

To solve the following set of simultaneous equations,the determinant solution for Y would be 4X + 3Y = 7 2X - 2Y = 5

The matrix multiplication (AB),where A and B are any matrix,is equal to the matrix multiplication (BA).

An n × m matrix,when multiplied by an n × m matrix,yields

The value of the determinant is

An n × m matrix,when multiplied by an m × n matrix,yields an n × n matrix.

We cannot multiply an n × m matrix by a 1 × m matrix.

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

Determinants are useful in solving a set of simultaneous equations.

The value of the determinant is

We cannot multiply a 1 × m matrix by an n × m matrix.

=

Matrices and determinants are useful for

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.

[1 5] =

Transpose =

Multiply matrix by .

Multiply matrix by .

An n × m matrix,when added to an n × m matrix,yields

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

Filters