If and are square matrices of order such that is an orthogonal matrix and is a…

MATHEMATICS · Single correct · CBSE · Mathematics · Determinants · Determinants

Problem

A

and

B

are square matrices of order

3\times3

such that

A

is an orthogonal matrix and

B

is a skew-symmetric matrix, then which of the following statements is true? (1)

|AB|=1

(2)

|AB|=-1

(3)

|AB|=0

(4) None of these