" Sisw that "A=[[2,3],[1,2]]" satsfies "e_(9)^(n)A^(2)-4A+I=0

If A=[[2,-1],[-1,2]] ,show that A^2-4A+3I=0 .

" 2.Let "A=[[1,0,2],[2,0,1],[1,1,2]]," then "(det((A-I)^(3)-4A))/(5)" is "

Show that A = [(-8,5),(2,4)] satsfies the equation x^2 + 4x - 42= 0 . Hence find A^-1

If A= ((2,3),(-1,2)) .Show that A^(2)-4A+7I=0 whwre I is the unit matrix of order 2.

If A=[[2,-1, 1],[-1 ,2,-1],[ 1, 1, 2]] .Verify that A^3-6A^2+9A-4I=0 and hence find A^(-1) .

If A=[{:(2,-1,1),(-1,2,-1),(1,-1,2):}] verify that A^(3)-6A^(2)+9A-4I=0 and hence find A^(-1) .

If A = [(2,3),(3,10)],I=[(1,0),(0,1)] then show that (2I -A) (10I-A) = 9I .

If i is the greatest of the definite integrals I_(1)=int_(0)^(1)e^(-x)cos^(2)dx,I_(2)=int_(0)^(1)e^(-x^(2))cos^(2)xdx and I_(3)=int_(0)e^(-x^(2))dx,I_(4)=int_(0)^(1)e^(-((x^(2))/(2)))dx then (A)I_(1)(B)I_(2)(C)I_(3)(D)I_(4)

For 2 times 2 matrices A,B and I, if A+B=I and 2A-2B=I , then A equals 1) [[(1)/(4),0],[0,(1)/(4)]] 2) [[(1)/(2),0],[0,(1)/(2)]] 3) [[(3)/(4),0],[0,(3)/(4)]], 4) [[1,0],[0,1]]