If A and B are symmetric matrices, then AB – BA is a

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

symmetric matrix

skew-symmetric matrix

diagonal matrix

null matrix

answer is B.

(Unlock A.I Detailed Solution for FREE)

Detailed Solution

We are given A′=A,B′=BNow (AB−BA)′=(AB)′−(BA)′=B′A′−A′B′=BA−AB=−(AB−BA)i.e. (AB−BA)′=−(AB−BA)Hence, AB-BA is a skew-symmetric matrix.

Watch 3-min video & get full concept clarity