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Matrices and Their Inverses Answers

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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.
4

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.
9

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

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