Question 1

The value of the determinant   is

Accepted Answer

A) 60. 
B) 6. 
C) 54. 
D) 21. 
E) None of the above 
A) 60. 
B) 6. 
C) 54. 
D) 21. 
E) None of the above C

Question 2

=

Accepted Answer

A) 11 
B) -11 
C) 15 
D) 4 
E) None of the above 
A) 11 
B) -11 
C) 15 
D) 4 
E) None of the above B

Question 3

A determinant has a single numerical value.

Accepted Answer

A) True 
 B)False  True

Question 4

Multiply matrix [1 2 3] by   .

Accepted Answer

The answer of Multiply matrix [1 2 3] by ...

Question 5

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

Accepted Answer

A) True 
 B)False

Question 6

×   =

Accepted Answer

A) True 
 B)False

Question 7

An identity matrix has 1's in all positions of the matrix.

Accepted Answer

A) True 
 B)False

Question 8

Element 2,2 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 9

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

Question 10

Add the matrices   +   .

Accepted Answer

The answer of Add the matrices   + ...

Question 11

[3 2]     = [14]

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

The value of the determinant of the following matrix is 7.

Accepted Answer

A) True 
 B)False

Question 14

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 15

=

Accepted Answer

A) 0 
B) 3 
C) -5 
D) -3 
E) None of the above 
A) 0 
B) 3 
C) -5 
D) -3 
E) None of the above

Question 16

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

Question 17

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

Accepted Answer

A) True 
 B)False

Question 18

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...

Question 19

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

Accepted Answer

A) True 
 B)False

Question 20

An n × m matrix multiplied by a p × m matrix yields an n × p matrix.

Accepted Answer

A) True 
 B)False

Exam 20: Mathematical Tools: Determinants and Matrices

The value of the determinant is

=

A determinant has a single numerical value.

Multiply matrix [1 2 3] by .

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

× =

An identity matrix has 1's in all positions of the matrix.

Element 2,2 of the inverse of the matrix is

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

Add the matrices + .

[3 2] = [14]

=

The value of the determinant of the following matrix is 7.

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

=

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.

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?

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

An n × m matrix multiplied by a p × m matrix yields an n × p matrix.

Introduction to Quantitative Analysis

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