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Consider the matrix # = A I write a quadratic form Q(x) = x² Ax, and determine whether the Q(x) is positive definite. Justify your our answer 22 41 2. Find the maximum, value of the quadratic form in part 1 subject to the constraint ||*|| = 1, and find a unit vector a at which this

Consider the matrix # = A I write a quadratic form Q(x) = x² Ax, and determine whether the Q(x) is positive definite. Justify your our answer 22 41 2. Find the maximum, value of the quadratic form in part 1 subject to the constraint ||*|| = 1, and find a unit vector a at which this

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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Consider the matrix A 2 - [2 ²] 41 I write a quadratic form T Q(x) = x Ax, and determine whether the Q(x) is positive definite. Justify your answer 2. Find the maximum, value of the quadratic form in part I subject to 스 the constraint 1|2||=1, and find a unit vector a at which this value is attained. maximum
Transcribed Image Text:Consider the matrix A 2 - [2 ²] 41 I write a quadratic form T Q(x) = x Ax, and determine whether the Q(x) is positive definite. Justify your answer 2. Find the maximum, value of the quadratic form in part I subject to 스 the constraint 1|2||=1, and find a unit vector a at which this value is attained. maximum
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