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Finding representative matrix of quadratic form $ q(x) = x_1x_2 + x_2x_3 + x_1x_3$ with respect to a basis

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#linear-algebra #matrices #quadratic-forms
104
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Find parameter a for which..

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#algebra-precalculus #quadratic-forms
77
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Assumption $d>2$ on Proposition 2.12 from Knapp's Elliptic Curves

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#algebraic-geometry #polynomials #elliptic-curves #quadratic-forms #tangent-line
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Quadratics vs Hermitian forms

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#linear-algebra #quadratic-forms
2.2k
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Transform quadratic form into canonical form.

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#eigenvalues-eigenvectors #quadratic-forms #canonical-transformation
360
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Finding eigenvectors and canonical form.

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#linear-algebra #matrices #eigenvalues-eigenvectors #quadratic-forms
2k
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How do I determine the rank and signature of a quadratic form

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#linear-algebra #quadratic-forms #matrix-rank
794
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What are the ways to determine whether quadratic form is positive definite?

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#linear-algebra #eigenvalues-eigenvectors #quadratic-forms #positive-definite #positive-semidefinite
1.5k
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Completing the square to find if quadratic form is positive definite.

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#polynomials #quadratic-forms #positive-definite #positive-semidefinite
59
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How to determine the rank of a matrix if on the diagonal it's all zeros?

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#linear-algebra #quadratic-forms #matrix-rank
897
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Find a canonical form through orthogonal transformation

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#eigenvalues-eigenvectors #orthogonality #quadratic-forms
293
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Quadratic forms of two real matrices are equal

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#linear-algebra #matrices #quadratic-forms
165
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Primes Represented By Quadratic Forms With Discriminant $-35$

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#quadratic-forms #representations-by-quadratic-forms
80
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To determine if the given quadratic forms are equivalent

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#linear-algebra #quadratic-forms
616
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Is it true that if $A$ is real and symmetric and $(\forall x: \ x^tAx=0)$, then $A$ is the zero matrix?

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#linear-algebra #matrices #quadratic-forms

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