Find the rank of the matrix `[[0,i,-i],[-i,0,i],[i,-i,0]]`

the matrix A=[(i,1-2i),(-1-2i,0)], where I = sqrt-1, is

If I is the unit matrix of order 2 xx 2 find the matrix M, such that (i) M-2I=3 [{:(,-1,0),(,4,1):}] (ii) 5M+3I=4[{:(,2,-5),(,0,-3):}]

In the matrix [[1,0,5],[2,-3,4]] i. number of rows is……………………...

2.If A=[[i,0],[0,-i]] and B=[[0,i],[i,0]], find AB .

2.If A=[[i,0],[0,-i]] and B=[[0,i],[i,0]], find AB .

If A=[[i,0], [0,i]] , write A^2 .

For the matrix A=[(1,1,0),(1,2,1),(2,1,0)] which of the following is correct? (A) A^3+3A^2-I=0 (B) A^3-3A^2-I=0 (C) A^3+2A^2-I=0 (D) A^3-A^2+I=0

If one root of the equation i x ^2 - 2(1+i) x+ (2-i) =0 is 2- I then the root is

If A=[(i,0), (0,i)],\ n in N , then A^(4n) equals [(0,i), (i,0)] (b) [(0 ,0) ,(0, 0)] (c) [(1, 0) ,(0, 1)] (d) [(0,i) ,(i,0)]

If A=[[0,1],[1,0]],B=[[0,-i],[i,0]] and C=[[i,0],[0,-i]] , show that A^2=B^2=-C^2=I_2 and AB=-BA,AC=-CA and BC=-CB .