If `A = [ [ 2, 5 ] , [ 3 , - 7 ] ]` then show that `( A^2 )' = ( A' )^2`

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

If A=[[1,2],[5,7]] and B=[[2,0],[ 3,-4]] , show that AB!=BA

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

If A=[{:(2,-1),(1,3):}] , then show that A^(2)-5A+7I_(2)=O , hence find A^(-1) .

If =[31-12], show that A^(2)-5A+7I_(2)=O

If cot(A/2) : cot(B/2) : cot(C/2) = 3:5:7, then show that a : b : c = 6 : 5 : 4

If A=[31-12], show that A^(2)-5A+7I_(2)=O

If A=[[3,2,01,4,00,0,5]], show that A^(2)-7A+10I_(3)=O

if A=[{:(3,1),(-1,2):}], show that A^(2)-5A+7I=0.

Count each 7 which is not immediately preceded by 5 but is immediately followed by either 2 or 3. How many such 7's are there ? 5 7 2 6 5 7 3 8 3 7 3 2 5 7 2 7 3 4 8 2 6 7 8 1) 2 2) 3 3) 4 4) 5 5) None of these