By solving a system of equations, find the linear combination of the vectors
v1 = [1] v2 = [0] v3= [2] b= [3]
[0] [1] [1] [0]
[-1] [2] [1] [-2]
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If v1 = (1 1 -2), v2 = (0 1 1), v3 = (1 0 -3), and w = (4 1 h), what are the values of h where w is in the span of v1, v2, and v3? Also, which linear combination of v1, v2, and v3 gives w?
(a.) Let v1 = (1 1 1 1), v2 = (0 1 1 1), and v3 = (-1 1 2 3)
Find a basis for C^4 that contains these three vectors. Justifyyour anwser.
(b.) Let v1 = (1 1 1), v2 = (2 1 4), v3 = (1 2 -1),v4 = (3 2 5), and v5 = (2 0 6)
Find a subset of these vectors which is a basis of C^3. Justifyyour answer.
For all vectors, assume they are written vertical and nothorizontal