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

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

If A = [[1,0,0],[2,1,0],[3,3,1]] then reduce it to I_3 by using column transformations.

If A = [[1,-1,2],[3,0,-2],[1,0,3]] verify that A(adjA) = (adjA)A = abs(A)I ,

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 5A^T-5B^T

Compute the adjoint of the matrix, A: [[1,4,5],[3,2,6],[0,1,0]] and verify that: A(AdjA) = abs(A)I .

Answer the following questions.If A=[[4,-1,-4],[3,0,-4],[3,-1,-3]] ,show that A^2=I

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