10 0 1 9. If A = 10 1 01, find a". Hence find A6

10019. If A=10101, find a'. Hence find A6

If A = ((3,1),(-1,2)), I = ((1,0),(0,1)) and O = ((0,0),(0,0)) show that, A^(2) - 5A + 7I = O . Hence find A^(-1) .

If A = {:[(2,-1),(-1,2)] , verify A^2 - 4A + 3I = O , where 1 = {:[(1,0),(0,1)] and O = {:[(0,0),(0,0)] , Hence find A^-1

If A = [[3,1],[-1,2]],I= [[1,0],[0,1]] and O = [[0,0],[0,0]] show that A^2-5A+7I=0 . Hence find A^(-1) .

If A=[[3,1],[-1,2]], I=[[1,0],[0,1]] and O=[[0,0],[0,0]] , show that A^2-5A+7I=0 . Hence find A^(-1) .

If (AxxA) has 9 elements two of which are (-1,0) and (0,1), find the set A and the remaining elements of (AxxA).

If A=[{:(2,-1),(-1,2):}] , verify A^(2)-4A+3I=0 , where I=[{:(1,0),(0,1):}] and O=[{:(0,0),(0,0):}] . Hence find A^(-1) .

If {a_n} is a G.P. and a_1=4 ,r=5, find a_6 and S_6 .

If A=[{:(2,0,1),(2,1,3),(1,-1,0):}] . find A^(2)-5A+6I and hence , find a matrix X such that A^(2)-5A+6I+X=O .

If l_(1) = (10.0 pm 0.1) cm and l_(2) = (9.0 pm 0.1) cm , find the their sum , difference and error in each .