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This question makes no since to me are these matrixes v1, v2 ,v3 actually vectors as stated in the problem attached?
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Thanks so a = -7, b =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} ?
That means they are dependent? v3 depends on v1 and v2Good. 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.
Thank youCorrect.