If `A=[[1,2,-3],[4,3,5],[3,-6,4]]`,then Show that `A+A'`is symmetric

If A=[[1,2,-3],[4,3,5],[3,-6,4]] ,then Show that A-A' is skew-symmetric

If A=[[1,-3],[4,2]],B=[[4,1],[3,-2]] show that AB!=BA

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

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

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

If A=[[1,3,4],[2,6,7]] ,show that (A')'=A

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

If A=[[2,4,6],[3,5,7] ,show that (A')'=A

If A=[[3,4],[-4,3]] and B=[[2,1],[-1,2]] show that (A+B) . (A-B)=A^2-B^2

Find the inverse of the matrix: [[1,2,3],[2,4,5],[3,5,6]] . Hence solve the equations x+2y+3z = 2 , 2x+4y+5z = 1 , 3x+5y+6z = 3 .