" 0.5"" If "A=[[4,5],[2,1]]" then,show that "A^(-1)=(1)/(6)(A-51)" ,where "1" is ldentity matrix "

If A=[[1,4,0],[5,2,6],[1,7,1]] and A^(-1)=(1)/(36)(alpha A^(2)+beta A+yI), where I is an identity matrix of order 3, then value of alpha, beta, gamma

show that [(1,1,3),(5,2,6),(-2,-1,-3)]=A is nipotent matrix of order 3.

If A=[[-1,2],[3,4]] and B=[[2,-3],[5,1]] show that AB!=BA

If A=[[4,1],[5,8]] , show that A+A^T is symmetric matrix, where A^T denotes the transpose of matrix A

If A=[[3,4],[5,1]] , show that A-A^T is a skew symmetric matrix, where A^T denotes the transpose of matrix A

If |[2,4],[5,1]|=|[2x,4],[6,x]| then x is

If A=[[3m,-4],[1,-1]] , show that (A-A^T) is skew symmetric matrix, where A^T is the transpose of matrix A.

Show that A=[(1,5,6),(5,2,7),(6,7,3)] is a symmetric matrix as A^T =A .

Show that the points (3,4),(-5,16),(5,1) are collinear.