Find k,if `A=[[3,-2],[4,-2]]`and `A^2=kA-2I`

Select the correct option from the given alternatives. If A = [[2,3],[5,-2]] be such that A^-1 = kA , then k equals to i] 19 ii] frac{1}{19} iii] -19 iv] -frac{1}{19}

If A = [[1,2],[3,4]] and X is a 2xx2 matrix such that AX = I , then find X .

If A=[[1,2,0],[5,4,2],[0,7,-3]] find the product (A+I)(A-I)

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.

Find the value of k, if (2,1), (4,3) and (0,k) are collinear.

If A+I=[[1,2,0],[5,4,2],[0,7,-3]] find the product (A+I)(A-I)

Evaluate [[3],[2],[1]] [2 -4 , 3] =

Find k,if the following matrices are singular: [[k-1,2,3],[3,1,2],[1,-2,4]]