List questions from quadratic-forms

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Addition of quadratic form in linear algebra

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Why do positive definite matrices have to be symmetric?

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If the discriminant of a quadratic form is a perfect square then one can factor this quadratic form

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If $n$ is represented by a quadratic form, then $4an$ is a square modulo $|d|$

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On Diophantine equations of the form $x^4-n^2y^4=z^2$

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Total number of Isotropic Vectors in Finite Field

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"How would Gauss proceed?"

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Do matrix-orthogonal vectors have to be eigenvectors of the matrix?

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Ternary Quadratic Forms

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Linearization of a quadratic function in $\mathbb{R}^2$

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Why is $\nabla_x x^T A x = 2 A x$?

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A norm generated by the quadratic form of T implies T is an isomorphism.

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Square class of algebraic extension of finite fields

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Determination of parameters for quadratic function given the maximal slope for a certain range

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List Question

Equivalent binary quad forms with same discriminant

Addition of quadratic form in linear algebra

Why do positive definite matrices have to be symmetric?

If the discriminant of a quadratic form is a perfect square then one can factor this quadratic form

If $n$ is represented by a quadratic form, then $4an$ is a square modulo $|d|$

On Diophantine equations of the form $x^4-n^2y^4=z^2$

Total number of Isotropic Vectors in Finite Field

"How would Gauss proceed?"

Do matrix-orthogonal vectors have to be eigenvectors of the matrix?

Ternary Quadratic Forms

Linearization of a quadratic function in $\mathbb{R}^2$

Why is $\nabla_x x^T A x = 2 A x$?

A norm generated by the quadratic form of T implies T is an isomorphism.

Square class of algebraic extension of finite fields

Determination of parameters for quadratic function given the maximal slope for a certain range

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