If matrix A is given by `A=[(6,11),(2,4)]`, then the determinant of `A^(2005)-6A^(2004)` is

If matrix A is given by A=[[6,11] , [2,4]] then determinant of A^(2005)-6A^(2004) is

Find the matrix A if [(1,2),(0,1)]A=[(6,1),(2,1)]

If A=[{:(3,-3,4),(2,-3,4),(0,-1,1):}] , then the trace of the matrix Adj(AdjA) is

For the given matrix A=[(1, 3, 5, 7), (2, 4, 6, 8), (9, 11, 13, 15)] the order of the matrix A^(T) is

If X is a non-zero column matrix, such that A X=lambda X where lambda is a scalar and the matrix A is [[4,6,6],[1,3,2],[-1,-5,-2]] then sum of distinct values of lambda is

In [Fe^(11) (CN)_6]^(4-) the central metal ion is

Find the rank of matrix A = [(4,5,-6,1),(7,-3,0,8)] .

Find minors and cofactors of the elements of the determinant {:[( 2,-3,5),( 6,0,4),( 1,5,-7)]:} and verify that a_11 A_31+ a_12A_32+a_13A_33=0

Find the range of y=sin^3x-6sin^2x+11sinx-6.