If A is a diagonal matrix of order 3 x 3 is commutative with every square matrix of order 3 x 3 under multiplication and tr(A) = 12, then the value of A is ______________.

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

answer is 64.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

A diagonal matrix is commutative with every square matrix if it is scalar matrix; so every diagonal element is 4. Therefore, |A| = 64.

Watch 3-min video & get full concept clarity