Please do all 4 problems and clearly and all important steps only
Posted: Mon Jul 11, 2022 11:10 am
Please do all 4 problems and clearly and all important steps only
4. In each part, determine whether the polynomial is a linear combination of P₁ = 2 + x + x², P₂ = 1 − x², P₂ = 1 + 2x. b. 1 + x² a. 1 + x c. 1+x+x²
7. In each part, determine whether the vectors span R³. a. v₁ = (2,2,2), V₂ = (0, 0, 3), V3 = (0, 1, 1) b. v₁ = (2,−1, 3), V₂ = (4,1,2), V3 = (8,-1,8)
8. Suppose that v₁ = (2, 1, 0, 3), V₂ = (3,-1, 5, 2), and V3 = (-1,0, 2, 1). span{V₁, V₂, V3}? a. (2,3, -7,3) c. (1, 1, 1, 1) Which of the following vectors are in b. (0, 0, 0, 0) d. (-4, 6, -13, 4)
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7. In each part, determine whether the vectors span R³. a. v₁ = (2,2,2), V₂ = (0, 0, 3), V3 = (0, 1, 1) b. v₁ = (2,−1, 3), V₂ = (4,1,2), V3 = (8,-1,8)
8. Suppose that v₁ = (2, 1, 0, 3), V₂ = (3,-1, 5, 2), and V3 = (-1,0, 2, 1). span{V₁, V₂, V3}? a. (2,3, -7,3) c. (1, 1, 1, 1) Which of the following vectors are in b. (0, 0, 0, 0) d. (-4, 6, -13, 4)