Find the rank of each of the following matrices. 1. ` [[1, 0], [0, 0]]` 2. `[[1, 0] ,[0,1]]`

Show that the following matrices are skew symmetric: [[0,1,-1],[-1,0,1],[1,-1,0]]

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 [[0,0],[-1,1]]

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

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

Find the Rank of the matrix A = [[1,4,5,2],[2,1,3,0],[-1,3,2,2]]

Evaluate the following : [[1, 1, 1]] [[1,0,0],[0,1,0],[0,0,1]][[4],[4],[4]]

Find the inverse of the following matrix using elementary operations: A=[[1,2,-2],[-1,3,0],[0,-2,1]]

Find AB and BA if exists from the following matrices A and B: (i) A=[{:(2,3,-1),(0,1,2):}]and B=[{:(2,-6),(-4,0):}] (ii) A=[{:(1,2,3),(0,1,-2),(-1,0,-1):}]and B=[{:(0,0,2),(2,0,0),(0,2,0):}] (iii) A=[{:(0,3,4),(2,1,-2),(1,-3,-1):}]and B=[{:(2,1,3),(-1,0,-2):}]

(c) Find the rank of the matrix A= [[2,-1,0,5],[0,3,1,4]]