If `A=[[0,1],[1,0]]` and `B=[[0,i],[i,0]]` then

If A=[[i,0],[0,i]] and B=[[0,-i],[-1,0]] then (A+B)(A-B)=

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 .

If A= [[a,b],[c,d]] and I= [[1,0],[0,1]] then A^(2)-(a+d)A=

If A=[[a,b],[c,d]] and I=[[1,0],[0,1]] then A^2-(a+d)A-(bc-ad)I=

If I=[[1,0] , [0,1]] and B=[[0,1] , [-1,0]] and C=[[cos theta, sin theta] , [-sin theta, cos theta]] then C=

If I=[[1,0],[0,1]] and E=[[0,1],[0,0]] prove that (2I+3E)^3=8I+36E

If I=[[1,0],[0,1]] , E=[[0,1],[0,0]] then (aI+bE)^(3)=

If I= [[1,0],[0,1]] , J = [[0,1],[-1,0]] and B = [[costheta, sintheta],[-sintheta, costheta]] , then B= (A) Icostheta+Jsintheta (B) Icostheta-Jsintheta (C) Isintheta+Jcostheta (D) -Icostheta+Jsintheta

If I=[[1,0],[0,1]] , then I^4=

If A=[[0,0,1],[0,1,0],[1,0,0]],B=[[0,5,7],[0,0,6],[0,0,0]] and C=[[-1,3,5],[1,-3,-5],[-1,3,5]] , show that A^2=I