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

If A=([1,0],[2,1]) and A^(10)=([a,b],[c,d]) then a+b+c+d

If A=[[1,0],[2,1]] and A^(2012)=[[a,b],[c,d]] then find the values of a,b,c and d.

Q.4 If A= [[0,1,-2],[-1,0,5],[2,5,0]] , then (a)A'=A (b)A'=-A (c)A'=2A (d) None of these

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^(20) = [(a,b),(c,d)] where A =[(1,1),(0,2)] then a+b+c+d is equal to

If [[x,1]][[1,0],[2,0]]=0 ,then x equals (A) 0 (B) -2 (C) -1 (D) 2

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=[a b c d] , B=[1 0 0 1] , find a d j\ (A B) .

Let A = [[0, alpha],[0,0]] and(A+I)^(70) - 70 A = [[a-1,b-1],[c-1,d-1]], the value of a + b + c + d is

Let A = [(1,0),(2,3)] and A^(n) = [(a, b),(c,d)] then lim_(n to oo) (b + c)/(a + d) =