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

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

If A = [{:(i, 0),(0,i):}] and B = [{:(0,-i),(-i,0):}] , then (A + B)(A - B) equals

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]] , then I^4=

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

If A=[[1/3,2],[0,2x-3]] , B=[[3,6],[0,-1]] and AB=I ,then x=

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 A=[[i, 0], [0, (i)/(2)]] , then A^(-1)=