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?
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.
