7
QuizMultiple Choice

Matrices and Their Inverses

Question 7 • PRICE-FL-1200340-Algebra 2 Honors B (GPA) 26/27

Which statement is true about the determinant of a matrix?

Answer
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.

Explanation

A singular matrix has no inverse, and its determinant is 0, so statement A is true. An invertible matrix has a nonzero determinant, and the determinant of its inverse is the reciprocal of that value—not zero. The identity matrix has determinant 1, while a zero matrix has determinant 0.

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