Question

Find the best least squares approximation of $\sqrt x$ by a function from the subspace $S$.

score 1.7k · Answer 1 · 2026-04-14 17:11:01

1.7k

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Find the best least squares approximation of $\sqrt x$ by a function from the subspace $S$.

Published on 14 Apr 2026 - 17:11

score 10.2k · Answer 2 · 2026-04-16 14:37:31

10.2k

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Find values of a and b

Published on 16 Apr 2026 - 14:37

score 58 · Answer 3 · 2026-04-25 07:47:01

58

Views

Prove: If $y_0,...,y_n$ are pairwise different real numbers, then the vectors $f_{y_0},...,f_{y_n}$ form a basis of the dual space $V^*$

Published on 25 Apr 2026 - 7:47

score 44 · Answer 4 · 2026-04-15 01:33:44

Prove: Let $ A\in\mathsf{Mat}(2\times 2, \mathbb{R})$. If $ \det(A)$ is zero, then there exist a $ \mu\in\mathbb{R}$, so that $ \mu A = A^2$.

score 506 · Answer 5 · 2026-04-16 03:19:10

506

Views

How to show that matrix over $\mathbb{F}_2^{m \times n}$ is full rank $\iff$ it has square invertible submatrix $\in \mathbb{F}_2^{m \times m}$?

Published on 16 Apr 2026 - 3:19

score 106 · Answer 6 · 2026-04-14 10:34:09

106

Views

orthogonal basis - counter example

Published on 14 Apr 2026 - 10:34

score 147 · Answer 7 · 2026-04-13 21:38:30

147

Views

Cauchy-Schwarz Inequality : What motivates, and how can you divine, the quadratic polynomial?

Published on 13 Apr 2026 - 21:38

score 335 · Answer 8 · 2026-04-14 00:54:06

335

Views

Matrix elementary operation switch signs of elements

Published on 14 Apr 2026 - 0:54

score 453 · Answer 9 · 2026-04-13 17:36:35

453

Views

Free Vector Spaces - Alternative Definition and Relation to Linear Independence?

Published on 13 Apr 2026 - 17:36

score 55 · Answer 10 · 2026-04-16 11:06:31

55

Views

Finding the dimension of vector space?

Published on 16 Apr 2026 - 11:06

score 554 · Answer 11 · 2026-04-16 14:11:55

554

Views

$\operatorname{Span}(A \cap B) \subseteq \operatorname{Span}(A) \cap \operatorname{Span}(B)$

Published on 16 Apr 2026 - 14:11

score 81 · Answer 12 · 2026-04-10 05:57:48

81

Views

Value of $h$ and $k$ for system consistency

Published on 10 Apr 2026 - 5:57

score 92 · Answer 13 · 2026-04-12 11:53:54

92

Views

Is it scalar product given by mapping

Published on 12 Apr 2026 - 11:53

score 115 · Answer 14 · 2026-04-15 01:17:30

115

Views

Why should the vectors in Dixon's factorization algorithm be linearly dependant?

Published on 15 Apr 2026 - 1:17

score 258 · Answer 15 · 2026-04-15 14:54:54

258

Views

Can one know the rank of a matrix product given the rank of one of them?

Published on 15 Apr 2026 - 14:54

List Question

Find the best least squares approximation of $\sqrt x$ by a function from the subspace $S$.

Find values of a and b

Prove: If $y_0,...,y_n$ are pairwise different real numbers, then the vectors $f_{y_0},...,f_{y_n}$ form a basis of the dual space $V^*$

Prove: Let $ A\in\mathsf{Mat}(2\times 2, \mathbb{R})$. If $ \det(A)$ is zero, then there exist a $ \mu\in\mathbb{R}$, so that $ \mu A = A^2$.

How to show that matrix over $\mathbb{F}_2^{m \times n}$ is full rank $\iff$ it has square invertible submatrix $\in \mathbb{F}_2^{m \times m}$?

orthogonal basis - counter example

Cauchy-Schwarz Inequality : What motivates, and how can you divine, the quadratic polynomial?

Matrix elementary operation switch signs of elements

Free Vector Spaces - Alternative Definition and Relation to Linear Independence?

Finding the dimension of vector space?

$\operatorname{Span}(A \cap B) \subseteq \operatorname{Span}(A) \cap \operatorname{Span}(B)$

Value of $h$ and $k$ for system consistency

Is it scalar product given by mapping

Why should the vectors in Dixon's factorization algorithm be linearly dependant?

Can one know the rank of a matrix product given the rank of one of them?

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