2. Investigate the definiteness of the following quadr

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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3.12. Investigate the definiteness of the following quadratic forms:
Q,(x) = x} + 2x3 - 3x3 – 6x,x, + 8x,x3 – 4x,x3
Q,(x) = 2ax,x, + 2bx,x3 + 2cxzX1
Q,(x) = x} + 5x + 3x + 4x,x, – 2xzxz – 2x,x3
2.x,x3
2x1X3
-
Transcribed Image Text:3.12. Investigate the definiteness of the following quadratic forms: Q,(x) = x} + 2x3 - 3x3 – 6x,x, + 8x,x3 – 4x,x3 Q,(x) = 2ax,x, + 2bx,x3 + 2cxzX1 Q,(x) = x} + 5x + 3x + 4x,x, – 2xzxz – 2x,x3 2.x,x3 2x1X3 -
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