find `A^T`, if `A=[[1,3],[-4,5]]`

Find A^T ,if A=[[2,-6,1],[-4,0,5]]

Find x,if [1xx1][[1,2,3],[4,5,6],[3,2,5]][[1],[-2],[3]]=0

Find a,b,c if [[1,3/5,a],[b,-5,-7],[-4,c,0]] is a symmetric matrix.

Find the inverse of A=[[1,3,3],[1,4,3],[1,3,4]] and B = [[1,2,3],[1,1,5],[2,4,7]] then, find a matrix X such that XA = B .

Answer the following questions. If A=[[2,1,-3],[0,2,6]],B=[[1,0,-2],[3,-1,4]] ,find AB^T and A^TB

If A=[[7,3,1],[-2,-4,1],[5,9,1]] ,find (A^T)^T

If A=[[2,-3,4],[-1,0,3],[4,-5,-5]] then find A'

If A=[[1,2,-5],[2,-3,4],[-5,4,9]] ,prove that (A)^T=A

Find the minors and co-factors of all the elements in [[4,3,1],[1,3,2],[2,1,5]]