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Dido525Best ResponseYou've already chosen the best response.0
Anyone want to help me get started? I am pretty sure I can do the rest on my own.
 one year ago

CecilyBest ResponseYou've already chosen the best response.0
Represent the system in matrix form
 one year ago

Dido525Best ResponseYou've already chosen the best response.0
Yep, that's what I did.
 one year ago

Dido525Best ResponseYou've already chosen the best response.0
How do I go on from there?
 one year ago

sirm3dBest ResponseYou've already chosen the best response.1
take the determinant of the coefficient matrix, and set it equal to zero.
 one year ago

Dido525Best ResponseYou've already chosen the best response.0
Woah woah!!! We haven't learned what a determinant is yet. :P .
 one year ago

sirm3dBest ResponseYou've already chosen the best response.1
okay. how about gaussjordan reduction?
 one year ago

Dido525Best ResponseYou've already chosen the best response.0
Yeah. We learned that.
 one year ago

sirm3dBest ResponseYou've already chosen the best response.1
i got something easier than gaussjordan. multiply equation 2 by (1), and equation 3 by 2, then add the two equations.
 one year ago

sirm3dBest ResponseYou've already chosen the best response.1
use that equation with equation 1 to eliminate both y and z.
 one year ago

Dido525Best ResponseYou've already chosen the best response.0
THat dosen't eliminate it. It makes it bigger.
 one year ago

sirm3dBest ResponseYou've already chosen the best response.1
bx + 3y + 3z = a 3y + 3z = 2  a subtract.
 one year ago

Dido525Best ResponseYou've already chosen the best response.0
I used substitution instead. Should till be valid right?
 one year ago

sirm3dBest ResponseYou've already chosen the best response.1
or if you wish to substitute...
 one year ago

sirm3dBest ResponseYou've already chosen the best response.1
bx + (2a) =a bx = 2a  2
 one year ago

sirm3dBest ResponseYou've already chosen the best response.1
you're not to eliminate a, but y and z.
 one year ago

Dido525Best ResponseYou've already chosen the best response.0
Lets us elimination then lol.
 one year ago

Dido525Best ResponseYou've already chosen the best response.0
Now would I solve for a and substitute this into equation 2?
 one year ago

sirm3dBest ResponseYou've already chosen the best response.1
now if you put b = 1, and a any real number other than 1, say 3, 0x = 4 0 = 4 which is clearly false.
 one year ago

Dido525Best ResponseYou've already chosen the best response.0
Ohh never mind. I see why.
 one year ago

Dido525Best ResponseYou've already chosen the best response.0
For infinitely many solutions I would make 0=0 right?
 one year ago

Dido525Best ResponseYou've already chosen the best response.0
Okay what about a unique solution? @sirm3d
 one year ago

sirm3dBest ResponseYou've already chosen the best response.1
unique solution when b is not equal to zero.
 one year ago

sirm3dBest ResponseYou've already chosen the best response.1
any value of a for as long as b not zero will yield a unique solution
 one year ago
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