u/Artistic_Seat486

hello,

i am new to linear algebra and recently learned about eigen vector and value. it says that eigen vactor gives the direction where the space is going to be stretched so my question is if I have two eigen vectors X1 and X2 can I apply them on (x,y) one by one and get the final (x1,y1) I should have gotten by applying the matrix A ?

also I have seen that the eigenvectors aren't necessarily orthogonal so in that case it seems like some part of them could be cancelled out by the other eigenvector. could someone clarify this too?