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Compute the Indicated Products [(A,B),(-b,A)][(A,-b),(B,A)] - CBSE (Science) Class 12 - Mathematics

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Question

Compute the indicated products

`[(a,b),(-b,a)][(a,-b),(b,a)]`

Solution

`[(a,b),(-b,a)][(a,-b),(b,a)]`

`[(a,b),(-b,a)][(a, -b),(b,a)]`

`=[(a(a) + b(b), a(-b)+ b(a)), (-b(a)+a(b), -b(-b) + a(a))]`

`= [(a^2+b^2, -ab + ab), (-ab+ab, b^2  + a^2)] = [(a^2+b^2, 0),(0, a^2+ b^2)]`

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Solution Compute the Indicated Products [(A,B),(-b,A)][(A,-b),(B,A)] Concept: Operations on Matrices - Multiplication of Matrices.
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