Given that the matrix A, cos sin 0 0 A= sin cos 00 00 9) (a) Calculate the determinant of A. (b) Usint the result from 2a), calculate the inverse of A using the adjoint of matrix. (c) Calculate the transpose of A (d) Calculate the inverse of the transpose of A, i.e., (AT)-1 using the adjoint of matrix. (e) Using the results from 2b)-2d), show that (AT)-1= (A-1)T (f) Calculate the determinant of A-1 (g) Using the above result, show that det(A-1)= det(A)

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