AnswersTX-Advanced Quantitative ReasoningScalar and Matrix Multiplication

Scalar and Matrix Multiplication — Unit test Answers

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Which matrix equation can be used to solve the systems of equations below?3x - 2y = -36x - 5y = -9

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Option
Option A
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Option
Option B
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Option
Option C
D
Option
Option D
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Matrices X and Y both measure and are inverses of each other. Which matrix represents their product?

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Option A
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Option
Option B
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Option
Option C
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Option
Option D
3

What is the determinant of ?

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A
–24
B
–3
C
3
D
45
4

Given , , and .What is Y if ?

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Option A
B
Option
Option B
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Option
Option C
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Option
Option D
5

Which matrix will always give a determinant of 0?

A
a matrix having all nonzero numbers
B
a matrix not being the identity matrix
C
a matrix not having equal rows
D
a matrix having two equal rows
6

Which would be the next step in solving for matrix A?

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Option A
B
Option
Option B
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Option
Option C
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Option
Option D
7

Matrix X is shown below.If matrices X and Y are equal, what is the value of

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A
7.5
B
27
C
40
D
49.5
8

If , then what is –K?

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Option A
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Option
Option B
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Option C
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Option
Option D
9

Matrix P is shown below. Given that Matrix P equals Matrix Q, what is the value of

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A
3.5
B
6.2
C
7
D
16
10

What are the values of x and y in the matrix equation below?

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Option A
B
Option
Option B
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Option C
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Option
Option D
11

The vertices of a triangle are given in the columns of the matrix . If is found to perform a transformation, what are the coordinates of the transformed triangle?

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A
(0, 0), (–4, 0), (0, –5)
B
(0, 0), (–4, 0), (0, 5)
C
(0, 0), (4, 0), (0, –5).
D
(0, 0), (4, 0), (0, 5).
12

Which property is shown in the matrix addition below?

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A
associative property
B
identity property
C
inverse property
D
commutative property
13

Ines created a coefficient matrix to represent the system of linear equations below.Which type of matrix did Ines create?

Question illustration
A
a matrix
Option A
B
a matrix
Option B
C
an augmented matrix
D
a diagonal matrix
14

The vertices of a rectangle are given in the columns of the matrix . If is found to perform a transformation, what are the coordinates of the transformed rectangle?

Question illustration
A
(0, 0), (0, 18), (18, 18), (18, 0)
B
(0, 0), (18, 0), (18, –18), (0, –18)
C
(0, 0), (–18, 0), (–18, –18), (0, –18)
D
(0, 0), (18, 0), (18, 18), (0, 18)
15

The linear system below represents the sales of large and small popcorn servings at a movie theater for two consecutive days.What is the size of the augmented matrix for this system?

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Option A
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Option
Option B
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Option
Option C
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Option
Option D

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