AnswersTX-Advanced Quantitative ReasoningScalar and Matrix Multiplication

Matrices and Their Inverses Answers

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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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B
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Which value of t makes the two matrices inverses of each other?

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A
–3
B
–2
C
2
D
3
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What is the inverse of the matrix below?

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

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5

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

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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
7

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.
8

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

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Which value of x would make the following matrix singular?

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–27
B
–10
C
10
D
27
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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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