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Consider the matrix function A(x)=[{:(...

Consider the matrix function
`A(x)=[{:(cos^(-1)x,sin^(-1)x,cosec^(-1)x),(sin^(-1)x,sec^(-1)x,tan^(-1)x),(cosec^(-1)x,tan^(-1)x,cot^(-1)x):}]`
and `B = A^(-1)` . Also det.`(A(x))` denotes the determinant of square matrix A(x).
Which of the following statement(s) is(are) correct ?

A

`A(-x)=A(x)`

B

`A(x)+A(-x)= piI_(3)`

C

`A(-x)=-A(x)`

D

`A(x) + A(-x) = - piI_(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
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