# Write the row reduced echelon matrix found by Octave.

For the following problems, use Octave/Matlab to determine whether the following sets span $R_{3}$. Remember you need to pick an arbitrary element in $R_{3}$ and see if you can write it as a linear combination of the set of vectors.

For each problem, do the following:

1) – Write the row reduced echelon matrix found by Octave.

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Order Paper Now2) – Tell me if this set spans $R_{3}$.

3) – If this set spans $R_{3}$, solve for $α,β,…$ (in other words, tell me how to find the coefficients for the linear combination of our vectors). Otherwise, explain how can you tell the set does not span $R_{3}$

4) – If the set spans $R_{3}$, what could you define $α,β,γ$, etc. to construct the vector $⎣⎢⎡ 123 ⎦⎥⎤ $.

a) { ( 1 0 1 ), ( 3 1 0 ), ( -1 0 0 ), ( 2 1 5 ) }