Matrices and Their Inverses Answers

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Which of the following represents the inverse of the matrix below?

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

Which expression represents the inverse of the matrix below?

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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
4

Which value of x would make the following matrix singular?

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A
–27
B
–10
C
10
D
27
5

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

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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.
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If A and B are matrices and AB = I, which of the following represents the value of B?

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

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.

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A
FIND THE PRODUCT
B
FIND THE INVERSE
C
FINE IS THE PIANO
D
FINE IS A WARM DAY
8

Which pair of matrices are inverses of each other?

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Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
9

Which of the following matrices has an inverse?

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

What is the inverse of the matrix below?

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

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