Fill in the blanks
If A is invertible matrix of order 3 × 3, then |A^-1|= ____.

Question

Fill in the blanks If A is invertible matrix of order 3 × 3, then |A -1 |= ____.

Philoid · Accepted Answer

If A is invertible matrix of order 3 × 3, then |A^-1| = |A|^-1

Explanation:

Given A is invertible matrix of order 3 × 3.

We know that AA^-1 = I.

⇒|A||A^-1| = 1

|A|^-1

Fill in the blanksIf A is invertible matrix of order 3 × 3, then |A-1|= ____.