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

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

If A=[(1,2,3),(3,-2,1),(4,2,1)] then show that A^3-23A -40 I=0 .

If A =[{:(1,2,3),(3,-2,1),(4,2,1):}] then show that A^(3)-23A - 40 I =0

If A=[{:(,1,2,3),(,3,-2,1),(,4,2,1):}] then show that A^(3)-23A-40I=0

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

Solve the following equations by matrix method. For the matrix A = [(1,1,1),(1,2,-3),(2,-1,3)] . Show that A^(3) - 6A^(2) + 5A + 11 I = 0 . Hence, find A^(-1) .

If A = [(1,0,1),(0,1,2),(0,04)] , then show that |3A| = 27|A| .

If A = [(1,0,2),(0,2,1),(2,0,3)] , prove that A^(3) -6A^(2) + 7A + 2I = 0 .

If A = [(7,3),(5,2)] find A^(-1) .