Solve AX=0 for X = [x]
[y]
[z]

Question

Solve AX=0 for X = [x]
                             [y]
                             [z]

anonymous · Answer

$$X = \left(\begin{matrix}x \ y \ z\end{matrix}\right)$$

zzr0ck3r · Answer

augment the matrix with 0 vector and row reduce

anonymous · Answer

A = $$A =\left[\begin{matrix}1 & 1 &1 \ 1 & 2&1\2&3&2\end{matrix}\right]$$

anonymous · Answer

augment? i'm not familiar with that term

anonymous · Answer

so do i dot product X with A?

zzr0ck3r · Answer

can you put the matrix into row reduced echelon form?

anonymous · Answer

sorry, i'm not familiar with that either

anonymous · Answer

well 0, but where did 3x = 0 come from?

anonymous · Answer

do i dot product A with X, then set the corresponding rows equal to 0?

zzr0ck3r · Answer

forget I said that...what are you doing in class?

anonymous · Answer

we just learned eigenvalues and vectors, but i believe this is right before that section

zzr0ck3r · Answer

x+y+z=0
x+2y+z=0
2x+3y+2z=0

anonymous · Answer

okay, so it's basically a dot product, then i have to solve the system of equations

zzr0ck3r · Answer

you have a system with three unknowns and three equations
you can solve this as you would any system. but there are nice tricks for solving these, but would be hard to explain on here. google "row reduced echelon form".

zzr0ck3r · Answer

so I take it you are in a dif eq class and not linear algebra?

anonymous · Answer

yes, this is diff eq

zzr0ck3r · Answer

gotcha. yeah just solve like any system...

anonymous · Answer

okay, thank you

zzr0ck3r · Answer

np