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Linear Algebra 22 Online
OpenStudy (raffle_snaffle):

Describe and compare the solution set of xsub1+5xsub2-3xsub3=0 and xsub1+5xsub2-3xsub3=-2.

ganeshie8 (ganeshie8):

inconsistent

ganeshie8 (ganeshie8):

compare wid wat ?

OpenStudy (raffle_snaffle):

that is the question

OpenStudy (raffle_snaffle):

@ganeshie8

ganeshie8 (ganeshie8):

hmm, then i would describe it as, they're parallel planes with out any common elements in their solution sets. the solution sets are disjoint

OpenStudy (raffle_snaffle):

What is a homogenous linear system?

ganeshie8 (ganeshie8):

Ax=0

ganeshie8 (ganeshie8):

there will always be a trivial solution : x = 0

OpenStudy (loser66):

yes, it's no solution

OpenStudy (raffle_snaffle):

How and why?

OpenStudy (loser66):

you can think of the line or the plane, If it is a line, how can the same line have 2 values 0 and -2?

OpenStudy (loser66):

the left hand side are the same, right? but the right hand sides are different

OpenStudy (raffle_snaffle):

yes

OpenStudy (loser66):

mathematically, the matrix (2x4), after take rred, it gives us a line 0 0 0 1 , so we can conclude that the system is inconsistent

OpenStudy (raffle_snaffle):

why?

OpenStudy (raffle_snaffle):

|dw:1390271531478:dw|

OpenStudy (loser66):

dont' see anything

OpenStudy (raffle_snaffle):

Oh okay nvm

OpenStudy (raffle_snaffle):

without rref the matrix how would youu know the system is inconsistent?

OpenStudy (loser66):

hey!! you have a matrix. and you don't allow me use matrix method to solve it???

OpenStudy (loser66):

1/ the system have 2 identical equations with 2 different values--> inconsistent

OpenStudy (loser66):

DAT SIT

OpenStudy (raffle_snaffle):

ohhhhhhhhhhhhh man

OpenStudy (raffle_snaffle):

wow... light bulb just went off in my head

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