Question

Basis formed by hyperbolic functions

score 2.3k · Answer 1 · 2026-05-10 23:54:16

2.3k

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Basis formed by hyperbolic functions

Published on 10 May 2026 - 23:54

score 108 · Answer 2 · 2026-04-14 12:19:37

108

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What are the $a\in\Bbb R$ such that there exists a basis of $\Bbb R^3$ with respect to which $f_a$ is represented by the given matrix $M_a$

Published on 14 Apr 2026 - 12:19

score 167 · Answer 3 · 2026-05-10 20:14:14

167

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Basis transformation matrix for direct product space

Published on 10 May 2026 - 20:14

score 104 · Answer 4 · 2026-04-09 12:37:38

104

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Understanding in depth change of basis

Published on 09 Apr 2026 - 12:37

score 1.1k · Answer 5 · 2026-04-12 06:14:32

1.1k

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Linear transformation followed by change of basis

Published on 12 Apr 2026 - 6:14

score 1.2k · Answer 6 · 2026-04-12 22:30:59

1.2k

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Can a multivariate Gaussian always be factorized into a product of univariate Gaussians?

Published on 12 Apr 2026 - 22:30

score 159 · Answer 7 · 2026-04-12 09:11:58

159

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Finding Matrix of T with respect to basis.

Published on 12 Apr 2026 - 9:11

score 71 · Answer 8 · 2026-04-16 02:35:06

71

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Find Matrix T with respect to the basis beta

Published on 16 Apr 2026 - 2:35

score 364 · Answer 9 · 2026-04-16 21:56:33

364

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Consider the vectors $x_1=(2,1),x_2=(4,3),x_3=(7,-3)$

Published on 16 Apr 2026 - 21:56

score 26 · Answer 10 · 2026-04-14 01:21:58

26

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Transformation Matrices: $\hat{\mathbf{e}}_j = \sum_{i} H_j^i \mathbf{e}_i$ and $\hat{\mathbf{\mathrm{x}}} = H^{-1}\mathbf{\mathrm{x}}$?

Published on 14 Apr 2026 - 1:21

score 54 · Answer 11 · 2026-05-10 15:25:37

54

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Let $B={\{x^2, x, 1}\}$ and $S= {\{x^2+x, 2x-1, x+1}\}$ be two basis of $P_2$.

Published on 10 May 2026 - 15:25

score 122 · Answer 12 · 2026-04-10 12:38:56

122

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Finding the span and basis of V.

Published on 10 Apr 2026 - 12:38

score 80 · Answer 13 · 2026-04-15 17:58:39

80

Views

Find a change-of-coordinates matrix $P$ and use it to show that $A$ is similar to $\begin{bmatrix} a & -b \\ b & a \end{bmatrix}$.

Published on 15 Apr 2026 - 17:58

score 621 · Answer 14 · 2026-04-12 10:44:51

621

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Is the concept of dimension still well defined for non-finite dimensional spaces?

Published on 12 Apr 2026 - 10:44

score 127 · Answer 15 · 2026-05-10 17:58:12

127

Views

Adaptive knot selection for B-spline fitting.

Published on 10 May 2026 - 17:58

List Question

Basis formed by hyperbolic functions

What are the $a\in\Bbb R$ such that there exists a basis of $\Bbb R^3$ with respect to which $f_a$ is represented by the given matrix $M_a$

Basis transformation matrix for direct product space

Understanding in depth change of basis

Linear transformation followed by change of basis

Can a multivariate Gaussian always be factorized into a product of univariate Gaussians?

Finding Matrix of T with respect to basis.

Find Matrix T with respect to the basis beta

Consider the vectors $x_1=(2,1),x_2=(4,3),x_3=(7,-3)$

Transformation Matrices: $\hat{\mathbf{e}}_j = \sum_{i} H_j^i \mathbf{e}_i$ and $\hat{\mathbf{\mathrm{x}}} = H^{-1}\mathbf{\mathrm{x}}$?

Let $B={\{x^2, x, 1}\}$ and $S= {\{x^2+x, 2x-1, x+1}\}$ be two basis of $P_2$.

Finding the span and basis of V.

Find a change-of-coordinates matrix $P$ and use it to show that $A$ is similar to $\begin{bmatrix} a & -b \\ b & a \end{bmatrix}$.

Is the concept of dimension still well defined for non-finite dimensional spaces?

Adaptive knot selection for B-spline fitting.

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