" 15.Forthemitrix "A=[[1,1,1],[1,2,-3],[2,-1,3]]

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

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

Find the rank of the matrix [[2,1,-1,2],[1,3,2,-3],[-1,2,1,-1],[2,-3,-1,4]]

A=[[1,2,3],[3,-2,1],[4,2,1]] A^-1

Consider the matrix A=[[2,1,3],[2,3,1],[1,1,1]] B=[[-1,2,3],[-2,3,1],[-1,1,1]] Find (A+B)(A-B)

Find the rank of matrix [ [1,1,-3,2],[2,-1,2,-3],[3,-2,1,-4],[-4,1,-3,1] ]

If A=[(1,1,1),(1,2,-3),(2,-1,3)] then AdjA=

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

If A = [(2,2,1), (1,3,1), (1,2,2)] then A^-1+(A-5I) (AI)^2 = (i) 1/ 5 [[4,2, -1], [-1,3,1], [-1,2,4]] (ii) 1/5 [[4, -2, -1], [-1, 3, -1], [-1, -2,4]] (iii) 1/3 [[4,2, -1], [-1,3,1], [-1,2,4]] (iv) 1/3 [[4, -2, -1], [-1,3, -1], [-1, -2,4]]