If A `[{:(1,2,2),(2,1,2),(2,2,1):}]`, show that `A^2 -4A -5I =0`

If A = [{:(5,3),(-1,-2):}], "show that" " "A^(2)-3A-7I_(2)=0_(2). Hence find A^(-1) .

If A= [{:(0,1,1),(1,0,1),(1,1,0):}], "show that" A^(-1)=(1)/(2)(A^(2)-3I)

If A= {:[( 1,2),(4,2) ]:} , then show that |2A| =4|A|

A={:[( 1,1,1),(1,2,-3),(2,-1,3)]:} Show that A^(3) - 6A^(2) +5A +11 I =O. Hence , find A^(-1)

If A={:((3,1),(-1,2)):} show that A^(2)-5A+7I_(2)=0

If A=[(0,1,1),(1,0,1),(1,1,0)] show that A^(-1)=1/2(A^(2)-3I) .

If A=[{:(0,1,1),(1,0,1),(1,1,0):}] show that A^(-1)=(1)/(2)(A^(2)=3I)

If A= {:[( 3,1),( -1,2) ]:} Show that A^(2) -5A +7I =O.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.