4.1[2,3],[5,7]|=

Express A=[[-1,2,3],[5,7,9],[-2,1,1]] as the sum of a symmetric and skew symmetric matrix.

If A=[[-1,2,3],[5,7,9],[-2,1,1]] and B=[[-4,1,-5],[1,2,0],[1,3,1]] , then verify that (i) (A+B)'=A'+B' (ii) (A-B)'=A'-B'

If A= [[-1,2,3],[5,7,9],[-2,1,1]] and B= [[-4,1,-5],[1,2,0],[-1,3,1]] then verify that (A+B)^T=A^T +B^T

If A= [[-1,2,3],[5,7,9],[-2,1,1]] and B= [[-4,1,-5],[1,2,0],[-1,3,1]] then verify that (A-B)^T = A^T-B^T

If A = [[-1,2,3],[5,7,9],[-2,1,1]] andB = [[-4,1,-5],[1,2,0],[1,3,1]] , then verify that (A+B)' = A' + B'

If A = [[-1,2,3],[5,7,9],[-2,1,1]] and B = [[-4,1,-5],[1,2,0],[1,3,1]] , then verify that (A-B)' = A' - B'

Using elementary transformations find inverse of [[1,2,3],[2,5,7],[2,-4,-5]] .

Using elementary row transformations, find the inverse of the matrix A=[[1,2,3],[2,5,7],[-2,-4,-5]]

Using elementary row transformations, find the inverse of the matrix A=[[1,2,3],[2,5,7],[-2,-4,-5]]

Evaluate the following determinants: [[1,2,3],[3,5,7],[8,14,20]]