Use these data to compute the Q matrix in the Lagrangian L(a) = mina (aQa -a). Qis a 5 x 5 matrix, and Qij is the entry at ith row and jth column (i, j = 1, 2, 3, 4, 5) What are the values of Q2,2, 22,4, and Q2,5? Q2,2 Q2,4 Q2,5 = ||

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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Question
5
Given five data points:
x(1) = (0,0), y(¹)
x(2) = (2,0), y(²)
= (0,2), y(³)
x(3) =
x(4) =
Q2,4
Q2,5
==
-1
-1
=
x(5)
(4,4), y(5)
Use these data to compute the Q matrix in the Lagrangian L(a) = min. (α¹ Qa—a).
Qis a 5 x 5 matrix, and Qij is the entry at ith row and jth column (i, j = 1, 2, 3, 4, 5)
What are the values of Q2,2, Q2,4, and Q2,5?
Q2,2 =
=
=(3, 3), y(4) = 1
= 1
Transcribed Image Text:Given five data points: x(1) = (0,0), y(¹) x(2) = (2,0), y(²) = (0,2), y(³) x(3) = x(4) = Q2,4 Q2,5 == -1 -1 = x(5) (4,4), y(5) Use these data to compute the Q matrix in the Lagrangian L(a) = min. (α¹ Qa—a). Qis a 5 x 5 matrix, and Qij is the entry at ith row and jth column (i, j = 1, 2, 3, 4, 5) What are the values of Q2,2, Q2,4, and Q2,5? Q2,2 = = =(3, 3), y(4) = 1 = 1
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