matrix alg.

[renegade05]

I am so confused... I just need to know where to start, any help would be appreciative.

 

[daon2]

Trace what is happening to the rows...

After the first step, rows 1,3,4,5 remain unchanged. Row 2 now is $\displaystyle v_2+3v_1$.
After the second step, rows 1,3,5 remain unchanged. Row 4 now is $\displaystyle -2v_4$.

Keep going. Note $\displaystyle v_1$ will not show up in your answer, as no row operations are done with it.

 

[renegade05]

i got v5 = v2 + 3v1 - 3v4

Why shouldnt there be a v1 in my final answer?

i think there should be. Look at operation number 1.

Can you confirm my answer?

 

[daon2]

Right, I don't know why I said that, sorry.

Your new row 5 will be $\displaystyle R_5 = v_5 -(v_2+3v_1 + (-2)v_4) = \overline{0}$