a. Let Q = 4x + 6x₁x₂ + 3x² + 2x3 + x² + 4x1X3 + 2X1X4 + 4X2X3 + 2X₂X4 + 2X3X4 i. Find a symmetric matrix A such that x¹ Ax 11. Find the definiteness of Q

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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a. Let Q = 4x + 6x₁x₂ + 3x² + 2x3 + x² + 4x1x3 + 2X1X4 + 4X2X3 + 2x2x4 + 2X3X4
i.
Find a symmetric matrix A such that xAx
11.
Find the definiteness of Q
111.
Find the minimum and the maximum of Q subject to xTx=1
Find
მQ
əx
iv.
Transcribed Image Text:a. Let Q = 4x + 6x₁x₂ + 3x² + 2x3 + x² + 4x1x3 + 2X1X4 + 4X2X3 + 2x2x4 + 2X3X4 i. Find a symmetric matrix A such that xAx 11. Find the definiteness of Q 111. Find the minimum and the maximum of Q subject to xTx=1 Find მQ əx iv.
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