Maithili P.

asked • 01/16/21

Linear Algebra Math

Let v1 = (1, -2, 3) and v2 = (-2, -2, 4).

Which of the following vectors are in span{v1, v2}?

(i) (3, 0, -1)

(ii) (5, 2, -4)

(iii) (8, 2, -5)


(A) (ii) and (iii) only (B) (iii) only (C) (i) and (ii) only (D) (ii) only (E) all of them (F) none of them (G) (i) only (H) (i) and (iii) only




Consider the vectors

u  =  [ 9

−1

−11  ,    v  =  −9 −1 −11  ,    w  =  9 1 −11 in ℝ3 True or False: The vector x1 x2 x3 is in span{u, v, w} for all x1, x2, x3 ∈ ℝ.

−11


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