Question

Matrices: If CA=I where I is the identity matrix, this implies that Ax=0 has only the trivial solutions. I need to know why this is true I cant rap my head around it please help!!!

Answer 1

@ikram002p

Answer 2

@ganeshie8

Answer 3

in other words, if the determinant is not 0, that is if the rank is \(n\),
then Ax = 0 has a trivial solution.

Answer 4

coz CA=I
that mean A dnt equal 0
so when AX=0
x=0

Answer 5

\(n\) is size of matrix,

Answer 6

thats makes since I don't know why I could not see that! Thanks!

Answer 7

:)