Q22 of 256 Page 7

If A and B are square matrices of the same order such that |A| = 3 and AB = I, then write the value of |B|.

Given that |A|=3 and AB=I

Since AB=I

Taking determinant both sides

|AB|=|I|

Using |AB|=|A||B|,|A|=3 and |I|=1, we get

3|B|=1

Hence,

Write the value of .

If A is a square matrix satisfying A^TA = I, write the value of |A|.

A is skew-symmetric of order 3, write the value of |A|.

If A is a square matrix of order 3 with determinant 4, then write the value of |-A|.