List questions from quadratic-forms

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Why do we assume that a matrix in quadratic form is symmetric?

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If $[L:k]$ is odd, $f$ quadratic form over $k$, then $\exists$ zero in $k$ when $\exists$ zero in $L$

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Differentiate $f(x)=x^TAx$

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Non-degenerate quadratic form and non-singular matrix

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The double summation in the general quadratic form

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Can we express a SPD matrix $S$ in terms of $S^{2}$ in a different manner to solve a convex problem?

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Are matrices best understood as linear maps?

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Is there a generalization of eigenvalues/eigenvectors to $L^p$ for $p\neq2$?

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Graphically, what is positive semidefinite-ness?

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Sum of two quadratic forms

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List Question

If $A$ is skew-symmetric, then $x^T A^2 x \le 0$

Understanding a proof about Hilbert Matrix

counterexample for: integral forms that are equivalent as rational forms are also equivalent as integral forms

Why do we assume that a matrix in quadratic form is symmetric?

If $[L:k]$ is odd, $f$ quadratic form over $k$, then $\exists$ zero in $k$ when $\exists$ zero in $L$

Showing representation numbers are at most on the order of polynomial growth

Differentiate $f(x)=x^TAx$

Quadratic Forms and Congruences

Non-degenerate quadratic form and non-singular matrix

The double summation in the general quadratic form

Can we express a SPD matrix $S$ in terms of $S^{2}$ in a different manner to solve a convex problem?

Are matrices best understood as linear maps?

Is there a generalization of eigenvalues/eigenvectors to $L^p$ for $p\neq2$?

Graphically, what is positive semidefinite-ness?

Sum of two quadratic forms

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