Question: Show that v1 ? Span(u1, u2, u3), and express v1 as a linear combination of u1, u2, u3. Hint: Begin with the equation v1 =

Show that v1 ? Span(u1, u2, u3), and express v1 as a linear combination of u1, u2, u3. Hint: Begin with the equation v1 = c1u1 + c2u2 + c3u3, take coordinate vectors of both sides, and show that the resulting equation has a solution in c1, c2, c3.

In some iidimensional vector space V with basis B : {V1, V2, V3, V4}, there are vectors 111, 112,113 whose coordinate vectors with respect to B are 1 2 2 1 3 1 [111]B = 1 3 [112]B = _1 a [113]s = 4 3 5 9 Show that v1 6 Span(u1,u2, u3), and express v1 as a linear combination of 111, 112, u3. Hint: Begin with the equation v1 : C1111 | (32112 + C3113, take coordinate vectors of both sides, and show that the resulting equation has a solution in el, 02,03

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