Respuesta :
Describe all solutions of Ax=0
in parametric vector form, where A
is row equivalent to the given matrix.
⎡⎣⎢⎢⎢1000−20003000−610054000−610⎤⎦⎥⎥⎥
I know that I should get this into row reduced echelon form, but I'm having trouble doing so. I attempted it below.
⎡⎣⎢⎢⎢1000−20003000−610054000010⎤⎦⎥⎥⎥
⎡⎣⎢⎢⎢1000−200030000100294000010⎤⎦⎥⎥⎥
I'm not quite sure where to go from here, also I don't know how I would describe all solutions of Ax=0
.
share improve this question
asked
Jan 27 '13 at 17:41
ground.clouds1
339●3●6●13 edited
Jan 13 '16 at 13:42
Martin Sleziak
40.3k●5●102●219
But it is already in echelon form. Isn't it? – 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. – 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. – icurays1 Jan 27 '13 at 17:58
@Tomas what? My matrix is telling me 0=1
which would make it inconsistent. – ground.clouds1 Jan 27 '13 at 17:59
add a comment
3 Answers
order by
up vote
6
down vote
accepted
Think about what
in parametric vector form, where A
is row equivalent to the given matrix.
⎡⎣⎢⎢⎢1000−20003000−610054000−610⎤⎦⎥⎥⎥
I know that I should get this into row reduced echelon form, but I'm having trouble doing so. I attempted it below.
⎡⎣⎢⎢⎢1000−20003000−610054000010⎤⎦⎥⎥⎥
⎡⎣⎢⎢⎢1000−200030000100294000010⎤⎦⎥⎥⎥
I'm not quite sure where to go from here, also I don't know how I would describe all solutions of Ax=0
.
share improve this question
asked
Jan 27 '13 at 17:41
ground.clouds1
339●3●6●13 edited
Jan 13 '16 at 13:42
Martin Sleziak
40.3k●5●102●219
But it is already in echelon form. Isn't it? – 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. – 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. – icurays1 Jan 27 '13 at 17:58
@Tomas what? My matrix is telling me 0=1
which would make it inconsistent. – ground.clouds1 Jan 27 '13 at 17:59
add a comment
3 Answers
order by
up vote
6
down vote
accepted
Think about what
