AnswersPrecalculusSolving Matrix Equations

Solving Matrix Equations — Unit test Answers

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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?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
2
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In the matrix below, what is the value of

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A
5
B
8
C
28
D
32
3

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

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A
0
B
16
C
18
D
40
4

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

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A
–158
B
–117
C
65
D
117
5

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.
6

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

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

If and , then which statement is true?

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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
8

What is the determinant of ?

Question illustration
A
–30
B
–4
C
30
D
60
9

What are the values of a, b, and c in the matrix addition below?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

What is the determinant of ?

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

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