Find the rank of the matrix A=`[[1,a,b,0],[0,c,d,1],[1,a,b,0],[0,c,d,1]]`

i) Find the rank of the matrix [[1,0,0],[1,0,0],[0,0,1]]

(b) Find the rank of the matrix [[1,2,3],[1,2,4],[0,0,0]]

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

(b) Find the rank of the matrix [[1,-1,2,-1],[4,2,-1,2],[3,2,-2,0]]

" (b) Find the rank of the matrix : "A=[[2,1,4,7],[3,6,2,1],[0,0,1,5]]

Find the rank of B= [[1,0,1,1],[0,0,1,2],[0,1,0,0],[0,0,0,1]]

" The inverse of the matrix "([1,0,0],[a,1,0],[b,c,1])" is "

Prove that the inverse of [[A,O],[B,C]] is [[A^(-1),O],[-C^(-1)BA^(-1),C^(-1)]] , where A, Care non-singular matrices and O is null matrix and find the inverse. [[1,0,0,0],[1,1,0,0],[1,1,1,0],[1,1,1,1]]

The inverse of the matrix [(1,0,0),(a,1,0),(b,c,1)] is (A) [(1,0,0),(-a,1,0),(b,c,1)] (B) [(1,0,0),(-a,1,0),(ac,b,1)] (C) [(1,-a,ac-b),(-0,1,-c),(0,0,1)] (D) [(1,0,0),(-a,1,0),(ac-b,-c,1)]

The transformation due of reflection of (x,y) through the origin is described by the matrix (A) [(0,0),(0,0)] (B) [(1,0),(0,1)] (C) [(0-1,0),(0,-1)] (D) [(0,-1),(-1,0)]