If CA = I, we have:
Ax = 0
C(Ax) = C(0) = 0
(CA)x = 0
Ix = 0
x = 0.
Hi, I have a matrices question..
Suppose CA = I(n).
Find a solution to Ax = 0, and prove that this i s the only solution, justify.
I struggle with the way some maths questions are worded.
As I understand this is a homogeneous equation, and they have at least one solution, the trivial solution where x = 0.
So I'm to show that there is no non trivial solution and x must equal 0?
If this reasoning is correct then I don't fully understand what CA = I(n) means and how to use it?
Can someone enlighten me?