Question 1

A matrix having only a single column with multiple rows,or a single row with multiple columns,is called a vector.

Accepted Answer

A) True 
 B)False

Question 2

We can develop an n × m matrix by adding an n × p matrix and an n × r matrix where p + r = m.

Accepted Answer

A) True 
 B)False

Question 3

An adjoint is the transpose of the matrix of cofactors.

Accepted Answer

A) True 
 B)False

Question 4

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

Accepted Answer

A) True 
 B)False

Question 5

Multiply the matrix   by   .

Accepted Answer

The answer of Multiply the matrix   by ...

Question 6

[3 2] = [14]

Accepted Answer

A) True 
 B)False

Question 7

The value of the determinant   is

Accepted Answer

A) 21. 
B) 50. 
C) 0. 
D) 48. 
E) None of the above 
A) 21. 
B) 50. 
C) 0. 
D) 48. 
E) None of the above

Question 8

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C) returning to step 1 and continue until all elements in the original matrix have been replaced by their cofactor values 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 
E) None of the above 
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C) returning to step 1 and continue until all elements in the original matrix have been replaced by their cofactor values 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 
E) None of the above

Question 9

Add the matrices   +

Accepted Answer

A)    
B)    
C)    
D)    
E) cannot be added 
A)    
B)    
C)    
D)    
E) cannot be added

Question 10

Evaluate the determinant below.   .

Accepted Answer

0.Note that row 1 an

Question 11

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) 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

Question 12

Element 1,1 of the inverse of the matrix   is

Accepted Answer

A) -5. 
B) -4. 
C) 4. 
D) 5. 
E) None of the above 
A) -5. 
B) -4. 
C) 4. 
D) 5. 
E) None of the above

Question 13

An n × m determinant is the same as an n × m matrix.

Accepted Answer

A) True 
 B)False

Question 14

Element 1,1 of the inverse of the matrix   is

Accepted Answer

A) -5. 
B) -4. 
C) 3. 
D) 7. 
E) None of the above 
A) -5. 
B) -4. 
C) 3. 
D) 7. 
E) None of the above

Question 15

A-1A = A A-1 = I

Accepted Answer

A) True 
 B)False

Question 16

The value of the determinant   is

Accepted Answer

A) 8. 
B) 7. 
C) 4. 
D) -4. 
E) None of the above 
A) 8. 
B) 7. 
C) 4. 
D) -4. 
E) None of the above

Question 17

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. 
E) None of the above 
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. 
E) None of the above

Question 18

An n × m matrix,when added to an m × n matrix (n ≠ m),yields an n × n matrix.

Accepted Answer

A) True 
 B)False

Question 19

×   = [7 7]

Accepted Answer

A) True 
 B)False

Question 20

Why does the matrix   have no definable inverse?

Accepted Answer

The answer of Why does the matrix   have...

Exam 20: Mathematical Tools: Determinants and Matrices

A matrix having only a single column with multiple rows,or a single row with multiple columns,is called a vector.

We can develop an n × m matrix by adding an n × p matrix and an n × r matrix where p + r = m.

An adjoint is the transpose of the matrix of cofactors.

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

Multiply the matrix by .

[3 2] = [14]

The value of the determinant is

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

Add the matrices +

Evaluate the determinant below. .

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

Element 1,1 of the inverse of the matrix is

An n × m determinant is the same as an n × m matrix.

Element 1,1 of the inverse of the matrix is

A-1A = A A-1 = I

The value of the determinant is

A matrix is

An n × m matrix,when added to an m × n matrix (n ≠ m),yields an n × n matrix.

× = [7 7]

Why does the matrix have no definable inverse?

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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A^-1^A = A A^-1 = I