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A5. Using the results about leading principal minors and/or principal minors, determine the sign properties (definite, semidefinite, indefinite) of the following quadratic forms Q in three variables: Q(u₁, U2, U3) = 4u²+ 3u² + 5u² + 4u₁u₂+2u₁U3 - 2u2u3. Q(u, v, w) = -7u² - v² - 4w²6uv +4vw.

A5. Using the results about leading principal minors and/or principal minors, determine the sign properties (definite, semidefinite, indefinite) of the following quadratic forms Q in three variables: Q(u₁, U2, U3) = 4u²+ 3u² + 5u² + 4u₁u₂+2u₁U3 - 2u2u3. Q(u, v, w) = -7u² - v² - 4w²6uv +4vw.

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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A5. Using the results about leading principal minors and/or principal minors, determine the sign properties (definite, semidefinite, indefinite) of the following quadratic forms Q in three variables: Q(u1, U2, U3) = 4u² +3u² +5u² + 4u₁u₂ + 2013 - 20₂0z. Q(u, v, w) = -7u² - v² 4w26uv + 4vw.
Transcribed Image Text:A5. Using the results about leading principal minors and/or principal minors, determine the sign properties (definite, semidefinite, indefinite) of the following quadratic forms Q in three variables: Q(u1, U2, U3) = 4u² +3u² +5u² + 4u₁u₂ + 2013 - 20₂0z. Q(u, v, w) = -7u² - v² 4w26uv + 4vw.
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