AnswersTX-Advanced Quantitative ReasoningScalar and Matrix Multiplication

Determinants Answers

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1
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What is the determinant of ?

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A
–14
B
–3
C
8
D
11
2
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Which expression represents the determinant of ?

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A
det(A) = (–4)(–7) – (–6)(–2)
B
det(A) = (–4)(–7) + (–6)(–2)
C
det(A) = (–6)(–2) – (–4)(–7)
D
det(A) = (–6)(–2) + (–4)(–7)
3

What is the determinant of ?

Question illustration
A
–74
B
–51
C
51
D
69
4

What is the determinant of the coefficient matrix of the system ?

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A
–1
B
0
C
3
D
18
5

What is the determinant of ?

Question illustration
A
–18
B
–8
C
10
D
18
6

What is the volume of the parallelepiped determined by the vectors a = , b = , and c = ?

A
4 cubic units
B
20 cubic units
C
24 cubic units
D
56 cubic units
7

What is the determinant of the coefficient matrix of the system ?

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A
0
B
3
C
6
D
7
8

Given the system , which is true?

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A
The system has no solutions.
B
The system has exactly one solution.
C
The system has exactly three solutions.
D
The system has an infinite number of solutions.
9

What is the area of a triangle with vertices at (–2, –1), (4, –1), (6, 5)?

A
6 square units
B
9 square units
C
18 square units
D
36 square units
10

What is the determinant of the coefficient matrix of the system ?

Question illustration
A
0
B
28
C
130
D
131

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