Linear Algebra
22 Online
OpenStudy (raffle_snaffle):
Describe and compare the solution set of xsub1+5xsub2-3xsub3=0 and xsub1+5xsub2-3xsub3=-2.
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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
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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?
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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?
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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???
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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