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3. Let A and B denote n x n matrices. For each of the following, prove the statement in general or give a counterexample that shows
it is not true.
(a) (A + B) (AB) = A²-B²
(b) (I + A)² = 1 + 2A + A²
Fig: 1
it is not true.
(a) (A + B) (AB) = A²-B²
(b) (I + A)² = 1 + 2A + A²
Fig: 1
