If A = 0 & 1 \\ 1 & 0 and B = 0 & -i \\ i & 0 , then (A + B)(A + B) is equal to: - Mathematics MCQ Mathematics Mock Test - 6 2026 | ExamTest.live

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If A = [0110] and B = [0 i - i 0], then (A + B) (A + B) is equal to:

Solution & Step-by-step Explanation

(A + B) (A + B) = A^{2} + A B + B A + B^{2} .Let's check A B and B A : A B = [0110] [0 i - i 0] = [i 0 0 - i] B A = [0 i - i 0] [0110] = [- i 0 0 i] Notice that B A = - A B ⟹ A B + B A = O (the zero matrix).Therefore: (A + B) (A + B) = A^{2} + O + B^{2} = A^{2} + B^{2}

Try it yourself before checking the explanation above.

If A = [0110] and B = [0 i - i 0], then (A + B) (A + B) is equal to:

A^{2} - B^{2}

A^{2} + B^{2}

A^{2} - B^{2} + B A + A B

None of these

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