DeterminantHard

Question

Which relation true for A = , B =

Options

A.(A + B)2 = A2 + 2AB + B2
B.(A - B)2 = A2 - 2AB + B2
C.AB = BA
D.None of these

Solution

(A) (A + B)2 = (A + B) (A + B) = A2 + BA + AB + B2
(B) (A - B)2 = (A - B) (A - B) = A2 - BA - AB + B2
(C) AB ≠ BA
Hence none of these.

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