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Find (a) the maximum value of Q(x) subject to the constraint x' x = 1, (b) a unit vector u where this maximum is attained, T and (c) the maximum of Q(x) subject to the constraints x x = 1 and xTu = 0. Q(x) = 8x² + 3x2 + 3x + 4x₁x2 + 4x₁ x3 + 6×2×3

Find (a) the maximum value of Q(x) subject to the constraint x' x = 1, (b) a unit vector u where this maximum is attained, T and (c) the maximum of Q(x) subject to the constraints x x = 1 and xTu = 0. Q(x) = 8x² + 3x2 + 3x + 4x₁x2 + 4x₁ x3 + 6×2×3

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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T Find (a) the maximum value of Q(x) subject to the constraint x' x = 1, (b) a unit vector u where this maximum is attained, and (c) the maximum of Q(x) subject to the constraints x' x = 1 and x' u = 0. Q(x) = 8x² + 3x² + 3x² + 4x₁×2 + 4×1×3 + 6×2×3 T (a) The maximum value of Q(x) subject to the constraint x' x = 1 is (b) A unit vector u where this maximum is attained is u = (Type an exact answer, using radicals as needed.) (c) The maximum of Q(x) subject to the constraints x' x = 1 and x' u = 0 is
Transcribed Image Text:T Find (a) the maximum value of Q(x) subject to the constraint x' x = 1, (b) a unit vector u where this maximum is attained, and (c) the maximum of Q(x) subject to the constraints x' x = 1 and x' u = 0. Q(x) = 8x² + 3x² + 3x² + 4x₁×2 + 4×1×3 + 6×2×3 T (a) The maximum value of Q(x) subject to the constraint x' x = 1 is (b) A unit vector u where this maximum is attained is u = (Type an exact answer, using radicals as needed.) (c) The maximum of Q(x) subject to the constraints x' x = 1 and x' u = 0 is
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