If `A = ((3,2),(3,3))` and `B=((1,-2/3),(-1,1))` show that `AB = I_2` where `I_2` is the unit matrix of order 2

If A = [(2,2),(4,3)] show that, A A^(-1) =I_(2) wher I_(2) is the unit matrix of order 2.

If A = [[2,2],[4,3]] show that A A^(-1) = I_2 where I_2 is the unit matrix of order 2.

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

If A = [(4,1),(7,2)] find a matrix B such that AB = I where I is the unit matrix of order 2.

Let the metrix A be given by A = ((2,1),(3,4)) . Obtain a matrix B such that AB = BA = I where I is the unit matris of order 2. Using this matrix B, solve for x and y from the following equations: 2x + y = 15 and 3x + 4y = 23

If A=[{:(1,-2,1),(0,1,-1),(3,-1,1):}] then show that A^3-3A^2-A-3I=O , where I is unit matrix of order 3

If A=[[3,1],[-1,2]] prove that A^2-5A+7I=O ,where I is unit matrix of order 2.

If A=[[5,4],[-2,3]] and B=[[-1,3],[4,-1]] ,then find C^T such that 3A-2B+C=I ,where I is the unit matrix of order 2.