- #1
You don't need the determinant to solve this problem. You are just looking for some a, b such that [itex]a\,\mathbf v_1 + b\,\mathbf v_2 = \mathbf v_3[/itex] -- or show that no such a, b exist.
Nope. Edit: Oops, my bad. I checked it again after seeing DH's post, and I'm the one who messed up.Thanks so a = -7, b =1;
Good. So what does that mean in terms of the problem? (You need to determine whether v1, v2, v3 are dependent or independent.)Thanks so a = -7, b =1;
That looks good.Span(v1,v2,v3) = {<a, -a; c , 0> : a, c belong to R} ?
Good. So what does that mean in terms of the problem? (You need to determine whether v1, v2, v3 are dependent or independent.)
That looks good.
Correct.