If A and B are square matrices of order n x n such that A^ 2 -B^ 2 =(A-B)(A+B) , then…
Mathematics · JEE Main · NTA Exams — Matrices and Determinants
If A and B are square matrices of order n \(x\) n such that \(A^{2}-B^{2}=(A-B)(A+B)\), then which of the following will be always true ?
- Either A or B is an identity matrix
- A = B
- AB = BA
- Either A or B is a zero matrix
Answer
(C) AB = BA
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