Which statement is true about the determinant of a matrix? the determinant of a singular matrix is equal to zero. the determinant of an inverse matrix is equal to zero. the determinant of an identity matrix is equal to zero. the determinant of a zero matrix is equal to one.

The determinant of a singular matrix is equal to zero

Step-by-step explanation:

A determinant is defined as a quantity that is achieved by adding products of the elements of square matrix according to a set of rules. Keeping in view the definitions, the following can be explained about the statements given.

The determinant of a singular matrix is equal to zero.

This is correct, as matrix is singular if its determinant is 0

The determinant of an inverse matrix is equal to zero

If the above statement is correct, then this is one is surely wrong. As singular matrix with determinant 0 does not have an inverse matrix

The determinant of an identity matrix is equal to zero

This is one is incorrect also, as detetriminant of an identify matrix is 1 not 0

The determinant of a zero matrix is equal to one

This is incorrect, as it is always 0 or null

Hence, the first statement is true.

The determinant of a singular matrix is equal to zero

Step-by-step explanation:

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