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Please show step by stepassignment 5 (3).jpg

assignment 5 (3).jpg

(Section 5.2)
points
2. a. In each part express the vector as a linear combination of
pi = 2+ x+4x2, p2 =1 - x+3x2, and p3 = 3+ 2x + 5x2.
i. -9 -7x - 15x2
ii. 6+ 11x +6x2
iii. 0
iv. 7+ 8x + 9x2
b. Suppose that vi = (2, 1, 0, 3), v2 = (3, -1, 5, 2), and v3 = (-1, 0, 2, 1).
Which of the following vectors are in span { vi, v2, v3}?
i. (2, 3, -7, 3)
ii. (0, 0, 0, 0)
iii. (1, 1, 1, 1)
iv. (-4, 6, -13, 4)

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