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If \(A\) and \(B\) are square matrices of order \(m\) such that \({A}^{2}-{B}^{2}=(A-B)(A+B)\), then which of the follow…

Q1

If \(A\) and \(B\) are square matrices of order \(m\) such that \({A}^{2}-{B}^{2}=(A-B)(A+B)\), then which of the following is always correct?

a

\(\mathrm{A}=\mathrm{B}\)

b

\(\mathrm{AB}=\mathrm{BA}\)

c

\(\mathrm{A}=0\) or \(\mathrm{B}=0\)

d

\(\mathrm{A}=\mathrm{I}\) or \(\mathrm{B}=\mathrm{I}\)

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