1) If `A=[[3,1],[5,4]]` Then Find `A^2`

If A=[{:(3,-5),(-1,2):}] then find A^(2)-5A- 4I .

Evaluate the following: If A=[[1,1,-2],[2,1,-3],[5,4,-9]] find |A|

If A=[[1,-2, 3,],[ 4, 2, 5,]] and B=[[2, 4], [2,3],[ 5, 1]] , then find AB, BA. Show that A B!=B A .

If A=[[1, 1,-2],[ 2, 1,-3],[ 5, 4,-9]] . Find |A| .

If A=[[2,3,4],[-3,0,2]], B=[[3,-4,-5],[1,2,1]] and C=[[5,-1,2],[7,0,3]] , find the matrix X such that 2A+3B=X+C

Let A=[{:(,2,1),(,0,-2):}], B=[{:(,4,1),(,-3,-2):}] and C=[{:(,-3,2),(,-1,4):}] . Find A^2+AC-5B .

If A=[(2, 0, 1 ),(2, 1, 3),( 1,-1, 0)] , find A^2-5A+4I and hence find a matrix X such that A^2-5A+4I+X=O .

If A=|{:(3,5),(2,4):}| , find A^(-1) .

If A=[(-1,0,2),(3,1,4)], B=[(0,-2,5),(1,-3,1)] and C=[(1,-5,2),(6,0,-4)], then find (2A-3B+4C).

If A=[[2,3,-4],[1,0,6],[-2,1,5]],B=[[5,1,2],[6,-1,4],[5,3,-4]] , find 2A-3B .