Consider the quadratic form ƒ(x1, x2, x3) = x² + x² + 5x² + 2ax1x2 − 2x1x3 + 4x2x3 = x¹Qx

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Chapter7: Eigenvalues And Eigenvectors
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Consider the quadratic form
ƒ(x₁, x2, x3) = x² + x² + 5x² + 2ax1x2 − 2x1 x3 + 4x2x3 = x¹ Qx
(A) What is the matrix Q?
(B) Find the values of the parameter a for which this quadratic form is positive definite,
Transcribed Image Text:Consider the quadratic form ƒ(x₁, x2, x3) = x² + x² + 5x² + 2ax1x2 − 2x1 x3 + 4x2x3 = x¹ Qx (A) What is the matrix Q? (B) Find the values of the parameter a for which this quadratic form is positive definite,
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