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Compute the Following: [(Cos^2x, Sin^2 X),(Sin^2 X ,Cos^2 X)]+[(Sin^2 X, Cos^2 X), (Cos^2 X, Sin^2 X)] - CBSE (Science) Class 12 - Mathematics

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Question

Compute the following:

`[(cos^2x, sin^2 x),(sin^2 x ,cos^2 x)]+[(sin^2 x, cos^2 x), (cos^2 x, sin^2 x)]`

Solution

`[(cos^2x, sin^2 x),(sin^2 x ,cos^2 x)]+[(sin^2 x, cos^2 x), (cos^2 x, sin^2 x)]`

`=[(cos^2x+ sin^2 x, sin^2 +cos^2 x), (sin^2 x + cos^2 x, cos^2 x + sin^2 x )]`

`=[(1,1),(1,1)]`   [∵ `sin^2 x + cos^2 x = 1`]

  Is there an error in this question or solution?

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Solution Compute the Following: [(Cos^2x, Sin^2 X),(Sin^2 X ,Cos^2 X)]+[(Sin^2 X, Cos^2 X), (Cos^2 X, Sin^2 X)] Concept: Operations on Matrices - Addition of Matrices.
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