DeterminantHard

Question

If A and B are square matrices of order 2, then (A + B)2 =

Options

A.A2 + 2 AB + B2
B.A2 + AB + BA + B2
C.A2 + 2 BA + B2
D.None of these

Solution

(A + B)2 = (A + B) . (A + B) = A2 + BA + AB + B2 (in general AB ≠ BA).

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