Question

If a is a 3 × 3 matrix such that |5. adja| = 5, then |a| is equal to

Answer 1

we know that
|adj a |= | a |^n-1. n= order of matrix
also | ka |=k^n |a|
than
5 ^3|adj a l= 5
125 | adj a| = 5
| adj al =1 / 25
|A|^(n-1 )=1 /25
A^2 =1/25
| A | =1/5
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