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.

If A=[[1,-2],[5,3]],B=[[1,-3],[4,-7]] ,then find the matrix A-2B+6I , where I is the unit matrix of order 2.

If A=[[7,3,0],[0,4,-2]],B=[[0,-2,3],[2,1,-4]] ,then find A^T+4B^T

If A=[[7,3,0],[0,4,-2]],B=[[0,-2,3],[2,1,-4]] ,then find 5A^T-5B^T

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

If A=[[1,-2],[5,6]],B=[[3,-1],[3,7]] ,Find AB-2I ,where I is unit martrix of order 2.

Select the correct options from the given alternatives:If A=[[1,2,2],[2,1,-2],[a,2,b]] is a matrix satisfying the equation A.A^T=9I ,where I is the identity matrix of order 3,then the paired (a,b) is equal to

If A=[[2,-1],[3,-2],[4,1]] and B=[[0,3,-4],[2,-1,1]] ,verify that (AB)^T=B^TA^T

If A = [[1,0,1],[0,2,3],[1,2,1]] and B = [[1,2,3],[1,1,5],[2,4,7]] , then find a matrix X such that XA = B .

If A=[[1,2,-3],[-3,7,-8],[0,-6,1]],B=[[9,-1,2],[-4,2,5],[4,0,-3] ,then find the matrix C such that A+B+C is a zero matrix