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

Question

Philoid · Accepted Answer

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,