English

Compute the indicated product: [(a, b),(–b, a)][(a, –b),(b, a)]

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Question

Compute the indicated product:

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

Sum
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Solution

`[(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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Chapter 3: Matrices - EXERCISE 3.2 [Page 58]

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 3 Matrices
EXERCISE 3.2 | Q 3. (i) | Page 58
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