AnswersGA-Advanced Algebra Concepts and Connections CRScalar and Matrix Multiplication

Determinants Answers

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1
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What is the determinant of the coefficient matrix of the system ?

Question illustration
A
0
B
3
C
6
D
7
2
Free Preview

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

Question illustration
A
0
B
28
C
130
D
131
3

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

Question illustration
A
–1
B
0
C
3
D
18
4

What is the determinant of ?

Question illustration
A
–74
B
–51
C
51
D
69
5

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
6

What is the determinant of ?

Question illustration
A
–14
B
–3
C
8
D
11
7

Which expression represents the determinant of ?

Question illustration
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)
8

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

Question illustration
A
–7
B
–2
C
–1
D
0
9

Which expression represents the determinant of ?

Question illustration
A
det(A) = (2)(9) – (1)(3)
B
det(A) = (2)(9) + (1)(3)
C
det(A) = (2)(3) – (1)(9)
D
det(A) = (2)(3) + (1)(9)
10

What is the determinant of ?

Question illustration
A
–18
B
–8
C
10
D
18
11

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

Question illustration
A
–11
B
–2
C
0
D
55
12

Given the system , which is true?

Question illustration
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.
13

Which expression represents the determinant of ?

Question illustration
A
det(A) = (–3)(–6) – (1)(6)
B
det(A) = (–3)(–6) + (1)(6)
C
det(A) = (1)(6) – (–3)(–6)
D
det(A) = (–3)(–6) + (–1)(–6)
14

What is the area of a parallelogram formed by = and = ?

Question illustration
A
2 square units
B
6 square units
C
16 square units
D
20 square units
15

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
16

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
17

Which expression represents the determinant of ?

Question illustration
A
det(A) = (2)(9) – (1)(3)
B
det(A) = (2)(9) + (1)(3)
C
det(A) = (2)(3) – (1)(9)
D
det(A) = (2)(3) + (1)(9)
18

What is the determinant of ?

Question illustration
A
15
B
18
C
154
D
169
19

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

Question illustration
A
0
B
28
C
130
D
131
20

What is the determinant of an identity matrix?

A
–10
B
–1
C
0
D
1

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