Describe all solutions of Ax=0
in parametric vector form, where A
is row equivalent to the given matrix.
β‘β£β’β’β’1000β20003000β610054000β610β€β¦β₯β₯β₯
I know that I should get this into row reduced echelon form, but I'm having trouble doing so. I attempted it below.
β‘β£β’β’β’1000β20003000β610054000010β€β¦β₯β₯β₯
β‘β£β’β’β’1000β200030000100294000010β€β¦β₯β₯β₯
I'm not quite sure where to go from here, also I don't know how I would describe all solutions of Ax=0
.
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Jan 27 '13 at 17:41
ground.clouds1
339β3β6β13 edited
Jan 13 '16 at 13:42
Martin Sleziak
40.3kβ5β102β219
But it is already in echelon form. Isn't it? β Tomas Jan 27 '13 at 17:52
As a hint, try multiplying your above matrix, by a vector with six variables, say x,y,z,r,s,t
and you'll find out what x
is equal to, what r
is equal to, and what t
is equal to. β CodyBugstein Jan 27 '13 at 17:57
@Tomas For reduced echelon form, the first entry in each row must be the only entry in its column, so the original matrix isn't quite there yet. β icurays1 Jan 27 '13 at 17:58
@Tomas what? My matrix is telling me 0=1
which would make it inconsistent. β ground.clouds1 Jan 27 '13 at 17:59
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Think about what