Problem #1: Let Q(x) = 63x14x14x-24x1x2-24x1x3 - 32x2x3. Find a unit vector x in R³ whose first entry is positive at which Q(x) is minimized, subject to xx = 1. [Hint: The eigenvalues of the matrix of the quadratic form Q are 2, -33, and 66.] Enter the components of x (in order) into the answer box below, separated with commas.
Problem #1: Let Q(x) = 63x14x14x-24x1x2-24x1x3 - 32x2x3. Find a unit vector x in R³ whose first entry is positive at which Q(x) is minimized, subject to xx = 1. [Hint: The eigenvalues of the matrix of the quadratic form Q are 2, -33, and 66.] Enter the components of x (in order) into the answer box below, separated with commas.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.CR: Chapter 10 Review
Problem 16CR
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