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xTQx – 6"x= 3x² + 4.xy+ 2y² - (4) Consider the function f(x,y) : 8х — 25у. Нere x — (a) Find the eigenvalues Ao < A1 of Q and the corresponding eigen- vectors do, di. (x, y) and Q is symmetric. |

xTQx – 6"x= 3x² + 4.xy+ 2y² - (4) Consider the function f(x,y) : 8х — 25у. Нere x — (a) Find the eigenvalues Ao < A1 of Q and the corresponding eigen- vectors do, di. (x, y) and Q is symmetric. |

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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(4) Consider the function f(x, y) x"Qx – 6"x = 3x2 + 4xy+ 2y? – - (x, y) and Q is symmetric. 8х — 25у. Нere x — (a) Find the eigenvalues Ao < A1 of Q and the corresponding eigen- vectors do, di. (b) Starting at the initial point xo method with the Q-orthogonal (ordered) basis {do, d1} to com- pute the next two points X1, X2. Show your work. - (6, 0) use conjugate directions
Transcribed Image Text:(4) Consider the function f(x, y) x"Qx – 6"x = 3x2 + 4xy+ 2y? – - (x, y) and Q is symmetric. 8х — 25у. Нere x — (a) Find the eigenvalues Ao < A1 of Q and the corresponding eigen- vectors do, di. (b) Starting at the initial point xo method with the Q-orthogonal (ordered) basis {do, d1} to com- pute the next two points X1, X2. Show your work. - (6, 0) use conjugate directions
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