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Dido525
 3 years ago
Linear algebra question?
Dido525
 3 years ago
Linear algebra question?

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Dido525
 3 years ago
Best ResponseYou've already chosen the best response.0Anyone want to help me get started? I am pretty sure I can do the rest on my own.

Cecily
 3 years ago
Best ResponseYou've already chosen the best response.0Represent the system in matrix form

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.0Yep, that's what I did.

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.0How do I go on from there?

sirm3d
 3 years ago
Best ResponseYou've already chosen the best response.1take the determinant of the coefficient matrix, and set it equal to zero.

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.0Woah woah!!! We haven't learned what a determinant is yet. :P .

sirm3d
 3 years ago
Best ResponseYou've already chosen the best response.1okay. how about gaussjordan reduction?

sirm3d
 3 years ago
Best ResponseYou've already chosen the best response.1i got something easier than gaussjordan. multiply equation 2 by (1), and equation 3 by 2, then add the two equations.

sirm3d
 3 years ago
Best ResponseYou've already chosen the best response.1use that equation with equation 1 to eliminate both y and z.

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.0THat dosen't eliminate it. It makes it bigger.

sirm3d
 3 years ago
Best ResponseYou've already chosen the best response.1bx + 3y + 3z = a 3y + 3z = 2  a subtract.

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.0I used substitution instead. Should till be valid right?

sirm3d
 3 years ago
Best ResponseYou've already chosen the best response.1or if you wish to substitute...

sirm3d
 3 years ago
Best ResponseYou've already chosen the best response.1bx + (2a) =a bx = 2a  2

sirm3d
 3 years ago
Best ResponseYou've already chosen the best response.1you're not to eliminate a, but y and z.

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.0Lets us elimination then lol.

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.0Now would I solve for a and substitute this into equation 2?

sirm3d
 3 years ago
Best ResponseYou've already chosen the best response.1now if you put b = 1, and a any real number other than 1, say 3, 0x = 4 0 = 4 which is clearly false.

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.0Ohh never mind. I see why.

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.0For infinitely many solutions I would make 0=0 right?

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.0Okay what about a unique solution? @sirm3d

sirm3d
 3 years ago
Best ResponseYou've already chosen the best response.1unique solution when b is not equal to zero.

sirm3d
 3 years ago
Best ResponseYou've already chosen the best response.1any value of a for as long as b not zero will yield a unique solution
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