List questions from scalar-fields

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Prove that there are infinitely many critical points and they are all local (and absolute) minima on $x^2+4y^2-4xy+2$

Published on 13 Apr 2026 - 17:25

492

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Gradient of $x^T B^T B x - x^T B^T b - b^T Bx$

Published on 16 Apr 2026 - 7:56

2.3k

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Derivative of a quadratic form

Published on 16 Apr 2026 - 20:47

1.1k

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Gradient of $f(x)=(a^T x)(b^T x)$

Published on 25 Mar 2026 - 6:05

1.1k

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Gradients, Directional Derivatives and Change in Scalar Functions

Published on 25 Mar 2026 - 4:40

189

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Gradient vector of scalar field

Published on 10 Apr 2026 - 21:07

450

Views

Prove that $ \text {(null}~T^*)^\perp \subseteq \text{range}~T $

Published on 25 Mar 2026 - 4:37

1k

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Derivative of summation across all elements of a matrix

Published on 25 Mar 2026 - 6:05

117

Views

Computing the gradient of $\det \left( \mathbf{X}^{T} \mathbf{X} \right)$

Published on 25 Mar 2026 - 4:37

108

Views

How to check if dot product calculation is true

Published on 09 Apr 2026 - 5:54

22

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what is wrong with following line integrals in a scalar field?

Published on 25 Mar 2026 - 4:39

83

Views

Does Scalar Field imply it is time-invarant

Published on 25 Mar 2026 - 4:37

66

Views

Covergence of sequences in a pre-Hilbert space

Published on 25 Mar 2026 - 4:39

34

Views

Sum of scalar products is finite dimensional

Published on 12 Apr 2026 - 14:53

38

Views

Apollonios equation holds iff the norm is induced by a scalar product

Published on 08 Apr 2026 - 20:38

List Question

Prove that there are infinitely many critical points and they are all local (and absolute) minima on $x^2+4y^2-4xy+2$

Gradient of $x^T B^T B x - x^T B^T b - b^T Bx$

Derivative of a quadratic form

Gradient of $f(x)=(a^T x)(b^T x)$

Gradients, Directional Derivatives and Change in Scalar Functions

Gradient vector of scalar field

Prove that $ \text {(null}~T^*)^\perp \subseteq \text{range}~T $

Derivative of summation across all elements of a matrix

Computing the gradient of $\det \left( \mathbf{X}^{T} \mathbf{X} \right)$

How to check if dot product calculation is true

what is wrong with following line integrals in a scalar field?

Does Scalar Field imply it is time-invarant

Covergence of sequences in a pre-Hilbert space

Sum of scalar products is finite dimensional

Apollonios equation holds iff the norm is induced by a scalar product

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