List questions from quadratic-forms

Published on 03 Dec 2018 - 6:50

51

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Factoring Determinant

Published on 05 Dec 2018 - 1:44

51

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$\{x\mid x^TAx\leq 1\} = \{x\mid x^TBx\leq 1\} \Rightarrow A = B$, where $A\succ 0, B\succ 0$

Published on 05 Dec 2018 - 3:10

209

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Finding the minimum value.

Published on 08 Dec 2018 - 12:15

153

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Necessary and sufficient conditions for $x'Ax = 0$

Published on 08 Dec 2018 - 15:16

130

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Do two equivalent quadratic forms necessarily have the same solutions

Published on 09 Dec 2018 - 17:22

107

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A binary quadratic form whose range topograph has a lake

Published on 11 Dec 2018 - 7:32

1.9k

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Why is the polarization identity important, intuitively?

Published on 25 Mar 2026 - 1:35

117

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Understanding Exercise 3.12 in Cox "Primes of the form $x^2+ny^2$"

Published on 11 Dec 2018 - 18:35

46

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Quadratic form as a homogenous polynomial

Published on 12 Dec 2018 - 10:47

128

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Value of the quadratic form as a function of the determinant

Published on 15 Dec 2018 - 8:37

407

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How did Euler show that number is idoneal?

Published on 16 Dec 2018 - 12:15

447

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Find a diagonal form of the quadratic form $f(x) = \sum_{i = 1}^nx_i^2 + \sum_{i < j}x_ix_j$

Published on 18 Dec 2018 - 6:07

1.2k

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Simultaneous diagonalisation of quadratic forms

Published on 18 Dec 2018 - 15:35

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More questions on quadratic forms over field

When do integers satisfy simple quadratic relation?

Factoring Determinant

$\{x\mid x^TAx\leq 1\} = \{x\mid x^TBx\leq 1\} \Rightarrow A = B$, where $A\succ 0, B\succ 0$

Finding the minimum value.

Necessary and sufficient conditions for $x'Ax = 0$

Do two equivalent quadratic forms necessarily have the same solutions

A binary quadratic form whose range topograph has a lake

Why is the polarization identity important, intuitively?

Understanding Exercise 3.12 in Cox "Primes of the form $x^2+ny^2$"

Quadratic form as a homogenous polynomial

Value of the quadratic form as a function of the determinant

How did Euler show that number is idoneal?

Find a diagonal form of the quadratic form $f(x) = \sum_{i = 1}^nx_i^2 + \sum_{i < j}x_ix_j$

Simultaneous diagonalisation of quadratic forms

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