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

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]] , then I^4=

If A=|[1,0,1],[0,1,2],[0,0,4]| then |3A|

If A=[[0,-1,0],[1,0,0],[0,0,-1]] , then A^(-1) is

If A=[[0, 1, 0], [1, 0, 0], [0, 0, 1]] , then A^(-1)=

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

Let matrix A=[[1,0,0],[1,0,1],[0,1,0]] then the value of |A^(2012)-I| is equal to