2. a. In each part express the vector as a linear combination of 2+x+4x², p₂ = 1 − x + 3x², and p3 = 3 + 2x + 5x². pi i. -9-7x - 15x² ii. 6+11x + 6x² = iii. O iv. 7 + 8x + 9x² b. Suppose that vi = = (2, 1, 0, 3), v₂ = (3, −1, 5, 2), and №3 = (–1, 0, 2, 1). Which of the following vectors are in span {1, 2, 3}? i. (2, 3, -7,3) ii. (0,0,0,0) iii. (1,1,1,1) iv. (-4, 6, -13, 4)
2. a. In each part express the vector as a linear combination of 2+x+4x², p₂ = 1 − x + 3x², and p3 = 3 + 2x + 5x². pi i. -9-7x - 15x² ii. 6+11x + 6x² = iii. O iv. 7 + 8x + 9x² b. Suppose that vi = = (2, 1, 0, 3), v₂ = (3, −1, 5, 2), and №3 = (–1, 0, 2, 1). Which of the following vectors are in span {1, 2, 3}? i. (2, 3, -7,3) ii. (0,0,0,0) iii. (1,1,1,1) iv. (-4, 6, -13, 4)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 27E
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