If matrix A=[aij]3x3 , matrix B=[bij]3x3 , where aij+aji=0 and bij−bji=0 ∀i,j, then A4.B3 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

Singular

zero matrix

Symmetric

Skew-symmetric matrix

answer is A.

(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

Here aij+aji=0⇒AT=−A & bij−bji=0⇒BT=B and A, B are 3×3 matrices. Hence |A|=0⇒|A4B3|=0⇒A4B3 is singular matrix.

Watch 3-min video & get full concept clarity