AnswersTX-Advanced Quantitative ReasoningScalar and Matrix Multiplication

Scalar and Matrix Multiplication — Unit test Answers

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1
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Which of the following sets of data would you likely represent with a square matrix?

A
A shoe salesperson wants to use an augmented matrix to represent the quantity of children’s shoes and adult shoes sold at his store for two days.
B
A racquetball club has a tournament where each member plays every other member and represents the scores in a matrix.
C
A student wants to write a coefficient matrix representing a linear system with two equations and three unknowns.
D
A teacher wants to write an augmented matrix representing a linear system with four equations and four unknowns.
2
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Raj encoded a secret phrase using matrix multiplication. Using A = 1, B = 2, C = 3, and so on, he multiplied the clear text code for each letter by the matrix to get a matrix that represents the encoded text. The matrix representing the encoded text is . What is the secret phrase? Determine the location of spaces after you decode the text.

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A
YUMMY IS THE CORN
B
THE TOMATO IS RED
C
THE CORN IS YUMMY
D
RED IS THE TOMATO
3

In the matrix below, what is the value of

Question illustration
A
5
B
8
C
28
D
32
4

What is the determinant of ?

Question illustration
A
–30
B
–4
C
30
D
60
5

Jonas made the following matrix of temperatures for the first 4 days of January. He also made the following matrix of temperatures for the first 4 days of February. Which matrix shows the difference of January and February?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

Given , , .What is the value of matrix B if A + B = C?

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

What is the value of x in the matrix equation below?

Question illustration
A
–3
B
–1
C
0
D
1
8

Which value of x makes the two matrices inverses of each other?

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

If and , then which statement is true?

Question illustration
A
det(A) = det(B)
B
det(A) = –det(B)
C
det(A) ¹ 0 and det(B) = 0
D
det(A) = 0 and det(B) ¹ 0
10

What is the value of given the matrix equation below?

Question illustration
A
2
B
8
C
26
D
28
11

What is the product?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
12

The matrix represents the length of 12 in. and the width of 4 in. of a rectangle. If matrix multiplication is used to double the length and width of the rectangle, which rectangle represents the result of the matrix multiplication?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
13

Jelani wrote the system of linear equations below to represent the number of student and adult tickets he and his friend sold to their school play.Jelani also wrote the augmented matrix to represent this system. Which matrix could Jelani have written?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
14

Suppose matrix D is the inverse of matrix C. Which of the following is equal to D?

A
CDD
B
CCD
C
DDD
D
CCC
15

What is the value of C in the matrix equation below?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
16

What is the solution to the system of linear equations represented by the matrix equations below?

Question illustration
A
x = 3, y = 0
B
x = 0, y =
Option B
C
The system of equations has no solution.
D
The system of equations has infinite solutions.
17

What are the values of c and d in the matrix subtraction below?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
18

What is the value of element 1,1 in matrix X?

Question illustration
A
m 4
Option A
B
m + 4
C
m
D
2
19

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

Question illustration
A
–158
B
–117
C
65
D
117
20

Which is a coefficient matrix for the system of linear equations?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D

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