spose we gots a matrix with a nonpivot column of all zeros; does the free variable represented by that comlun still have a "1" in it?

Question

amistre64 · Answer

ugh ...

\begin{pmatrix}1&*&*&0&*&*&*\0&1&*&0&*&*&*\0&0&1&0&*&*&*\0&0&0&0&*&*&*\0&0&0&0&1&*&*\0&0&0&0&0&*&*\end{pmatrix}

amistre64 · Answer

column 4 would be a free variable so:$$c_4\begin{pmatrix}0\0\0\0\0\0\\end{pmatrix}$$or?
$$c_4\begin{pmatrix}0\0\0\1\0\0\\end{pmatrix}$$?

amistre64 · Answer

should be 7 entries, but i spose i shoulda tried a smaller mxn

anonymous · Answer

LOL I need a tutor for linear algebra so I definitely cant help you on this one :D

amistre64 · Answer

im thinking since its a free variable that it should at least have a 1 in its own spot; but since it really doesnt participate in the playing feild I have to wonder

amistre64 · Answer

i might be away from the keyboard (afk for the younger denizens of OS) so if i dont respond dont worry.  im ok :)  but then again it could just be that I died and went to kansas :/  either way, dont worry ;)