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Question

If $$ A = ( a_{ij} )_{n \times n }$$ and $$f$$ is a function, we define $$ f(A) = ( f(a_{ij} ) )_{ n \times n} $$ let $$ A = \begin{bmatrix} \pi /2 - \theta & \theta \\ -\theta & \pi /2 - \theta \end{bmatrix} $$ then,

A
Sin A = cos A
B
Sin A is not orthogonal
C
sin (2A) = 2 sin A cos A
D
Sin A in invertible
Solution
Verified by Toppr

Correct option is A. Sin A in invertible

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