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Question
Compute the following:
`[(cos^2x, sin^2x),(sin^2x, cos^2x)] + [(sin^2x, cos^2x), (cos^2x, sin^2x)]`
Sum
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Solution
`[(cos^2x, sin^2x),(sin^2x, cos^2x)] + [(sin^2x, cos^2x), (cos^2x, sin^2x)]`
= `[(cos^2x + sin^2x, sin^2 + cos^2x), (sin^2x + cos^2x, cos^2x + sin^2x)]`
= `[(1, 1),(1, 1)]` ...[∵ sin2x + cos2x = 1]
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Chapter 3: Matrices - EXERCISE 3.2 [Page 58]
