Question 1

Which of the following statements is not true about matrix(ces)?

Accepted Answer

A) A matrix is a display of numbers arranged in rows and columns. 
B) Matrices are usually enclosed in parentheses or brackets. 
C) Matrices are used as an effective means of presenting or summarizing business data. 
D) Matrices cannot be considered as a quantitative tool. 
A) A matrix is a display of numbers arranged in rows and columns. 
B) Matrices are usually enclosed in parentheses or brackets. 
C) Matrices are used as an effective means of presenting or summarizing business data. 
D) Matrices cannot be considered as a quantitative tool. D

Question 2

=

Accepted Answer

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

Question 3

×   = ?

Accepted Answer

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

Question 4

The value of the determinant   is

Accepted Answer

A) 6243. 
B) 24. 
C) 15. 
D) 10. 
A) 6243. 
B) 24. 
C) 15. 
D) 10.

Question 5

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

Accepted Answer

A) an n × m matrix. 
B) an m × n matrix. 
C) a 2(n × m)matrix. 
D) These matrices cannot be added. 
A) an n × m matrix. 
B) an m × n matrix. 
C) a 2(n × m)matrix. 
D) These matrices cannot be added.

Question 6

Define what a matrix transpose is.

Accepted Answer

a matrix's

Question 7

To create the transpose of a given matrix, we simply interchange the rows with the columns.

Accepted Answer

A) True 
 B)False

Question 8

Accepted Answer

A) 11 
B) -11 
C) 15 
D) 4 
A) 11 
B) -11 
C) 15 
D) 4

Question 9

What value for X will result in the value for the determinant   to equal 19?

Accepted Answer

A) 9 
B) 11 
C) 27 
D) 13 
A) 9 
B) 11 
C) 27 
D) 13

Question 10

Transpose   =

Accepted Answer

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

Question 11

Add the matrices   +

Accepted Answer

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

Question 12

An adjoint is the transpose of the matrix of cofactors.

Accepted Answer

A) True 
 B)False

Question 13

Describe the adjoint.

Accepted Answer

Adjoint is the trans

Question 14

Element 1,1 of the inverse of the matrix   is

Accepted Answer

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

Question 15

A matrix is

Accepted Answer

A) a determination of probability. 
B) a qualitative tool used to solve a set of simultaneous equations. 
C) an array of numbers. 
D) a single column of non-zero numbers. 
A) a determination of probability. 
B) a qualitative tool used to solve a set of simultaneous equations. 
C) an array of numbers. 
D) a single column of non-zero numbers.

Question 16

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. 
A) an n × m matrix. 
B) an m × n matrix. 
C) a 2(n × m)matrix. 
D) a 2n × 2m matrix.

Question 17

The value of the determinant   is

Accepted Answer

A) 60. 
B) 6. 
C) 54. 
D) 21. 
A) 60. 
B) 6. 
C) 54. 
D) 21.

Question 18

Evaluate this expression   .

Accepted Answer

The answer of Evaluate this expression   ....

Question 19

Which one of the following is not a step in computing a matrix of cofactors?

Accepted Answer

A) selecting an element in the original matrix 
B) calculating the value of the determinant of the cofactor 
C) returning to step 1 and continue until all elements in the original matrix have been replaced by their cofactor values 
D) interchanging the rows with the columns 
A) selecting an element in the original matrix 
B) calculating the value of the determinant of the cofactor 
C) returning to step 1 and continue until all elements in the original matrix have been replaced by their cofactor values 
D) interchanging the rows with the columns

Question 20

Evaluate the determinant below.

Accepted Answer

0.Note that row 1 an

Exam 20: Mathematical Tools: Determinants and Matrices

Which of the following statements is not true about matrix(ces)?

=

× = ?

The value of the determinant is

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

Define what a matrix transpose is.

To create the transpose of a given matrix, we simply interchange the rows with the columns.

What value for X will result in the value for the determinant to equal 19?

Transpose =

Add the matrices +

An adjoint is the transpose of the matrix of cofactors.

Describe the adjoint.

Element 1,1 of the inverse of the matrix is

A matrix is

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

The value of the determinant is

Evaluate this expression .

Which one of the following is not a step in computing a matrix of cofactors?

Evaluate the determinant below.

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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