Diagonalize the matrix `A=[[1,1,0],[0,1,0],[1,2,1]]`

Find the rank of the matrix A = [[0,1,2,-2],[4,0,2,6],[2,1,3,1]]

Find the rank of the matrix A = [[1,3,2],[-1,7,2],[1,0,1]]

Find the rank of matrix.A= [[3,1,2,0],[1,0,-1,0],[2,1,3,0]]

Find the rank of matrix A= [[1,2,-1,0],[0,1,3,1],[2,5,1,2]]

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

find the rank of matrix A=[[0,1,1 ],[1, 0 ,1 ],[1, 1, 0]]

(i) Show that the matrix A=[[1,-1, 5],[-1, 2, 1],[ 5, 1, 3]] is a symmetric matrix. (ii) Show that the matrix A=[[0, 1,-1],[-1, 2, 1],[ 1,-1, 0]] is a skew symmetric matrix.

Find the rank of the matrix [[0,0],[-1,1]]

Using elementary transformations, find the inverse of the matrix [[1, 3,-2],[-3, 0,-1],[ 2, 1, 0]]

For the matrix A=[{:(1,1,0),(1,2,1),(2,1,0):}] , which of the following is correct ?