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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)` |
| Answer» Correct Answer - B | |