Recent content by mveritas

//To mathwonk So, you mean this is the correct proof? (inspite lack of explain...) I wondered why so many linear algebra books don't prove it in this way... (most of them prove it by using linear transformation or concept of vector space...) So I thought it maybe wrong proof... it's so...

NoNO, I mean 'solution set' is unique... hmm i'll change my paragraph...

Let's prove the uniqueness of row echelon form (Suppose we already knew existence) First, for any m*n matrix A, think about homogeneous equation AX=0. Obviously, AX=0 has a solution X=0, so its solution set is not empty. And A's row echelon form has same solution set. So if there are more...

----------------------------------------------- Thank you!

Hello, I have a question about topology. If X is a path-connected space then is it also true that closure X is path-connected? I think it's obvious, but I can't solve it clearly...