(i,3,1,-1,-3,

Find the rank of each of the following matrices: (i) [{:(3,2,5),(1,1,2),(3,3,6):}] (ii) [{:(4,3,1,-2),(-3,-1,-2,4),(6,7,-1,2):}]

Find matrix A.A+I_(3)=[[1,3,4-1,1,3-2,-3,1]]

If A+I_(3)=[[1,3,4-1,1,3-2,-3,1]], evaluate (A+I_(3))(A-I_(3)), where I_(3) represents 3xx3 unit matrix.

If A+I_(3)={:[(1,3,4),(-1,1,3),(-2,-3,1)]:}, evaluate (A+I_(3))(A-I_(3)), where I_(3) represents 3xx3 unit matrix.

Plot the following points and check whether they are collinear or not (i) (1,3), (-1,-1), (-2,-3) " " (ii) (1,1), (2,-3), (-1,-2) (iii) (0,0),(2,2), (5,5)

If A+I={:[(2,2,3),(3,-1,1),(4,2,2)]:} then show that A^(3)-23A-40I=0

If A+I={:[(2,2,3),(3,-1,1),(4,2,2)]:} then show that A^(3)-23A-40I=0

Find three positive integers x_i,i=1,1,3 "satisfying" 3x -= 2 "(mod 7)"

Find the inverse following matrix and verify that A^(-1)A=I_3 . [(1, 3, 3),( 1, 4, 3),( 1, 3, 4)]

If |{:(2i, -3i, 1), (3, 3i, -1), (4, 3, i):}|=x+iy , find x and y