examine whether the following quadratics are positive definite, negative definite, or indefinite a) 6x12 + 25x22 + 9x32 - 60x2x3 + 40x1x3 - 6x1x2 b) 9x22 + 9x32 + 10x2x3 +x3 + 6x1x2.
examine whether the following quadratics are positive definite, negative definite, or indefinite a) 6x12 + 25x22 + 9x32 - 60x2x3 + 40x1x3 - 6x1x2 b) 9x22 + 9x32 + 10x2x3 +x3 + 6x1x2.
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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examine whether the following quadratics are positive definite, negative definite, or indefinite
a) 6x12 + 25x22 + 9x32 - 60x2x3 + 40x1x3 - 6x1x2
b) 9x22 + 9x32 + 10x2x3 +x3 + 6x1x2.
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