Is Vector b in the Span of u1, u2, and u3?

lordy12
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1. Given b = (-2,3,7), u1= (4,-1,5) and u2= (3,1,3) and u3 = (5,02), determine if vector b is in the span of the remaining vectors



Homework Equations





3. You just solve for three equations with three unknowns? -2x + 4y + 3z = 5, 3x - y + z = 0, 7x + 5y + 3z = 2
 
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Those are the equations to determine if u3 is in the span of b, u1 and u2. Which is not quite the same question.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...

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