AnswersLAUSD-Pre-Calculus B PrescriptiveUnit Test

Matrices and Their Inverses Answers

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Which of the following matrices has an inverse?

A
mc004-1.jpg
Option A
B
mc004-2.jpg
Option B
C
mc004-3.jpg
Option C
D
mc004-4.jpg
Option D
2
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Which expression represents the inverse of the matrix below?

Question illustration
A
mc003-2.jpg
Option A
B
mc003-3.jpg
Option B
C
mc003-4.jpg
Option C
D
mc003-5.jpg
Option D
3

If C and D are matrices and C is the inverse of D, which of the following is true?

A
mc005-1.jpg
Option A
B
mc005-2.jpg
Option B
C
mc005-3.jpg
Option C
D
mc005-4.jpg
Option D
4

A square matrix that does not have an inverse is most specifically called a(n)

A
inverse matrix
B
identity matrix
C
singular matrix
D
non-singular matrix
5

Yvette encoded a secret phrase using matrix multiplication. Using A = 1, B = 2, C = 3, and so on, she 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.

Question illustration
A
FIND THE PRODUCT
B
FIND THE INVERSE
C
FINE IS THE PIANO
D
FINE IS A WARM DAY
6

Given matrices S and T below, which statement is true?

Question illustration
A
Matrices S and T are not inverses of each other because S+T I.
Option A
B
Matrices S and T are inverses of each other because ST = TS = I.
C
Matrices S and T are inverses of each other because the determinant of S is 1.
D
Matrices S and T are not inverses of each other because the determinant of S equals the determinant of T.
7

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

Question illustration
A
mc012-3.jpg
Option A
B
mc012-4.jpg
Option B
C
mc012-5.jpg
Option C
D
2
8

Which value of x would make the following matrix singular?

Question illustration
A
–27
B
–10
C
10
D
27
9

Which statement is true about the determinant of a matrix?

A
The determinant of a singular matrix is equal to zero.
B
The determinant of an inverse matrix is equal to zero.
C
The determinant of an identity matrix is equal to zero.
D
The determinant of a zero matrix is equal to one.
10

Which pair of matrices are inverses of each other?

A
mc008-1.jpg
Option A
B
mc008-2.jpg
Option B
C
mc008-3.jpg
Option C
D
mc008-4.jpg
Option D

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