Matrices & Determinants · JEE Main previous year questions

2006 1 question

1. Q212006 · 29 Apr 2006 · Shift 1

   If $A$ and $B$ are square matrices of size $n\times n$ such that $A^2-B^2=(A-B)(A+B)$, then which of the following will be always true?

   1. A.$A=B$
   2. B.$AB=BA$
   3. C.either of $A$ or $B$ is a zero matrix
   4. D.either of $A$ or $B$ is identity matrix
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   Answer: B