" The matrix "A=(1)/(9)[[1,2,2],[2,1,-2],[-2,2,-1]]" is "

Show that the matrix A = (1)/(3)[(1,2,2),(2,1,-2),(-2,2,-1)] is orthogonal, Hence, find A^(-1) .

consider a matrix A=1/3[[x,2,2],[2,1,-2],[-2,y,-1]] if A A^T=I_3 then

The matrix A=1/3{:[(1,2,2),(2,1,-2),(-2,2,-1)]:} is 1) orthogonal 2) involutory 3) idempotent 4) nilpotent

Find the rank of the matrix [[1,2,2,1],[2,1,2,1],[2,2,1,-1]] by reducing to an echelon from :

Find the rank of the matrix : A=[[-1,2,-2],[1,2,1],[-1,-1,2]]

Show that, A = 1/3[[1,2,2],[2,1,-2],[-2,2,-1]] are orthogonal matrix and hence find A^(-1) .

Find the rank of the matrix [[1,-1,2],[3,1,-2],[2,2,1]] by reducing it to a row - echelon matrix.

Show that , A =1/3[[-1,2,-2],[-2,1,2],[2,2,1]] is proper orthogonal matrix .

Matrix of co-factors of the matrix [[1, -1, 2], [-2, 3, 5], [-2, 0, -1]] is

4.Find the rank of the matrix A = [[4,2,-1,2],[1,-1,2,1],[2,2,-2,0]]