Matrices
If A and B are square matrices of size n × n such that A2 − B2 = (A − B) (A + B), then which of the following will be always true?
A = B
AB = BA
either of A or B is a zero matrix
either of A or B is an identity matrix
B.
AB = BA
A2 − B2 = (A − B) (A + B)
A2 − B2 = A2 + AB − BA − B2
⇒ AB = BA
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