If `A=[[1,2],[3,5]],B=[[0,4],[2,-1]]`show that`AB!=BA` but `|AB|=|A|.|B|`

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

If A=[[8,4],[10,5]],B=[[5,-4],[10,-8]] show that (A+B)^2=A^2+AB+B^2

Answer the following questions. If A=[[2,1],[0,3]],B=[[1,2],[3,-2]] ,verify that |AB|=|A||B|

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

Answer the following questions.If A=[[1,2],[3,2],[-1,0]] and B=[[,1,3,2],[4,-1,-3]] ,show that AB is singular matrix.

Answer the following questions.If A=[[2,-4],[3,-2],[0,1]],B=[[1,-1,2],[-2,1,0]] ,show that (AB)^T=B^TA^T

If A=[[4,3,2],[-1,2,0]],B=[[1,2],[-1,0],[1,-2]] show that matrix AB is non singular.

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

If A=[[2,-1],[3,-2],[4,1]] and B=[[0,3,-4],[2,-1,1]] ,verify that (AB)^T=B^TA^T

If A=[[2,-1],[3,-2],[4,1]] and B=[[0,3,-4],[2,-1,1]] ,verify that (BA)^T=A^TB^T