Question 1

Evaluate the determinant   .

Accepted Answer

The answer of Evaluate the determinant   ....

Question 2

Describe a matrix.

Accepted Answer

an array of numbers,

Question 3

×   =

Accepted Answer

A) True 
 B)False

Question 4

Determinants are useful in solving a set of simultaneous equations.

Accepted Answer

A) True 
 B)False

Question 5

Evaluate   .

Accepted Answer

The answer of Evaluate   ....

Question 6

Element 1,1 of the inverse of the matrix   is

Accepted Answer

A) -5. 
B) -4. 
C) 3. 
D) 7. 
A) -5. 
B) -4. 
C) 3. 
D) 7.

Question 7

The value of the determinant   is

Accepted Answer

A) 2. 
B) 14. 
C) -42. 
D) 42. 
A) 2. 
B) 14. 
C) -42. 
D) 42.

Question 8

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) These matrices cannot be multiplied. 
A) an n × m matrix. 
B) an m × n matrix. 
C) an n2 × m2 matrix. 
D) These matrices cannot be multiplied.

Question 9

Matrices and determinants are useful for

Accepted Answer

A) Poisson processes. 
B) exponential smoothing. 
C) linear programming. 
D) finding the roots of equations 
A) Poisson processes. 
B) exponential smoothing. 
C) linear programming. 
D) finding the roots of equations

Question 10

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

Accepted Answer

A) X =   ÷
  
B) X =   ÷
  
C) X =   ÷
  
D) X =   ÷
  
A) X =   ÷
  
B) X =   ÷
  
C) X =   ÷
  
D) X =   ÷

Question 11

=

Accepted Answer

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

Question 12

The subtraction of an n × m matrix from an n × m matrix yields an n × m matrix.

Accepted Answer

A) True 
 B)False

Question 13

The value of the determinant   is

Accepted Answer

A) 21. 
B) 50. 
C) 0. 
D) 48. 
A) 21. 
B) 50. 
C) 0. 
D) 48.

Question 14

=

Accepted Answer

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

Question 15

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 =   ÷
  
A) X =   ÷
  
B) X =   ÷
  
C) X =   ÷
  
D) X =   ÷

Question 16

We can always perform the matrix multiplication AA.

Accepted Answer

A) True 
 B)False

Question 17

A matrix multiplied by its inverse is always equal to the identity matrix.

Accepted Answer

A) True 
 B)False

Question 18

Add the matrices   +   .

Accepted Answer

The answer of Add the matrices   + ...

Question 19

-   =

Accepted Answer

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

Question 20

The value of the determinant of   is 8.

Accepted Answer

A) True 
 B)False

Exam 20: Mathematical Tools: Determinants and Matrices

Evaluate the determinant .

Describe a matrix.

× =

Determinants are useful in solving a set of simultaneous equations.

Evaluate .

Element 1,1 of the inverse of the matrix is

The value of the determinant is

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

Matrices and determinants are useful for

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

=

The subtraction of an n × m matrix from an n × m matrix yields an n × m matrix.

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

We can always perform the matrix multiplication AA.

A matrix multiplied by its inverse is always equal to the identity matrix.

Add the matrices + .

- =

The value of the determinant of is 8.

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

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