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1. In R2, what is the dual cone V* if the primal cone V is V = {y1 (-3, -4) + y2 (1, -3) | y >= O} 2. Express each vector as a linear combination of (-3,-4) and (1,-3) and conclude from the coefficients whether each is or is not in the cone of 1. a) u = (-2,-7) b) w = (-4,-1)

1. In R2, what is the dual cone V* if the primal cone V is V = {y1 (-3, -4) + y2 (1, -3) | y >= O} 2. Express each vector as a linear combination of (-3,-4) and (1,-3) and conclude from the coefficients whether each is or is not in the cone of 1. a) u = (-2,-7) b) w = (-4,-1)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. In R2, what is the dual cone V* if the primal cone V is V = {y1 (-3, -4) + y2 (1, -3) | y >= 0} %D 2. Express each vector as a linear combination of (-3,-4) and (1,-3) and conclude from the coefficients whether each is or is not in the cone of 1. a) u = (-2,-7) b) w = (-4,-1)
Transcribed Image Text:1. In R2, what is the dual cone V* if the primal cone V is V = {y1 (-3, -4) + y2 (1, -3) | y >= 0} %D 2. Express each vector as a linear combination of (-3,-4) and (1,-3) and conclude from the coefficients whether each is or is not in the cone of 1. a) u = (-2,-7) b) w = (-4,-1)
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