Reference no: EM13850799
1. Determine the spans of the following pairs of vectors and describe it geometrically:
(a) v1 = (1,-1,2), v2 = (2,-1,3)
(b) w1 = (1,2,-1), w2 = (-5,-10,5)
2. Determine the spans of the following sets of vectors in the given vector spaces over R.
(c) {2x^3 + 1, x -3, x^2 + 2, x + 3} in R[x] [Hint: it's the subspace of all polynomials of degree ≤ 3.]
(d) the matrices [1 0 0 -1] [0 1 0 1] and [0 -3 0 0] [Hint: show that it contains[1 0 0 0] [0 1 0 0] and [0 0 0 1]]
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Pairs of vectors and describe it geometrically
: 1. Determine the spans of the following pairs of vectors and describe it geometrically: (a) v1 = (1,-1,2), v2 = (2,-1,3) (b) w1 = (1,2,-1), w2 = (-5,-10,5)
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