Two `nxxn` square matrices A and B are said to be similar if there exists a non - singular matrix C such that `C^(-1)` AC = B .
If A and B are two singular matrices, then-

If A and B are non-singular matrices, then

Two nxxn square matrices A and B are said to be similar if there exists a non - singular matrix C such that C^(-1) AC = B . If A and B are similar matrices such that det(A) = 1, then -

Two nxxn square matrices A and B are said to be similar if there exists a non - singular matrix C such that C^(-1) AC = B . If A and B are similar matrices such that det(AB) = 0 then-

if A and B are non-singular matrices ,then

If A,B are two n xx n non-singular matrices, then

If A, B are two non-singular matrices of same order, then

Let A;B;C be square matrices of the same order n. If A is a non singular matrix; then AB=AC then B=C

Let A; B; C be square matrices of the same order n. If A is a non singular matrix; then AB = AC then B = C

A and B are two non-singular matrices of order n and AA' = BB'. Show that there exists a square matrix P such that A = BP with PP' = I .