Question

Example of Additive function but not linear from $C\to C$

score 1.3k · Answer 1 · 2018-06-03 00:42:57

1.3k

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Example of Additive function but not linear from $C\to C$

Published on 03 Jun 2018 - 0:42

score 95 · Answer 2 · 2026-03-26 11:16:59

95

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Apparent contradiction in linear operator theory

Published on 26 Mar 2026 - 11:16

score 156 · Answer 3 · 2018-06-03 11:58:04

156

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Linear Transformation finding parameters

Published on 03 Jun 2018 - 11:58

score 43 · Answer 4 · 2018-06-03 22:47:22

43

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Can you find the result of a linear transformation by projecting a given vector onto known eigenvectors?

Published on 03 Jun 2018 - 22:47

score 445 · Answer 5 · 2026-03-28 21:34:20

445

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Prove that for any eigenvalue, its eigenspace is in direct sum with the sum of all other eigenspaces of distinct eigenvlaues.

Published on 28 Mar 2026 - 21:34

score 750 · Answer 6 · 2026-03-27 00:58:55

750

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How to find the inverse of a linear transformation?

Published on 27 Mar 2026 - 0:58

score 782 · Answer 7 · 2018-06-05 00:12:28

782

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Mapping from $\Bbb{R}^2$ onto $\Bbb{R}^3$

Published on 05 Jun 2018 - 0:12

score 73 · Answer 8 · 2026-03-28 07:48:59

73

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Special Case of the Riesz Representation Theorem

Published on 28 Mar 2026 - 7:48

score 143 · Answer 9 · 2018-06-05 20:48:33

143

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Importance of the kernel

Published on 05 Jun 2018 - 20:48

score 1.5k · Answer 10 · 2026-03-25 14:14:58

1.5k

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Given the transformation $T:\Bbb R^5 \to\Bbb R^2$ where $T(x) = Ax$, how many rows and columns does matrix $A$ have?

Published on 25 Mar 2026 - 14:14

score 2k · Answer 11 · 2026-03-26 01:01:17

2k

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Proof that every bounded linear operator between hilbert spaces has an adjoint.

Published on 26 Mar 2026 - 1:01

score 53 · Answer 12 · 2018-06-06 08:15:25

53

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Express the dimensions of the null space and range space of $S$ and $T$ in terms of $\dim V , \dim W$

Published on 06 Jun 2018 - 8:15

score 127 · Answer 13 · 2018-06-06 13:48:19

127

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Maximum nullity of a linear transformation given that the nullity of T restricted to a subspace is s.

Published on 06 Jun 2018 - 13:48

score 196 · Answer 14 · 2018-06-06 21:33:41

196

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Determination of all invariant subspaces

Published on 06 Jun 2018 - 21:33

score 127 · Answer 15 · 2018-06-07 09:59:27

127

Views

Assume T is an operator on a finite dimensional real vector space and all the eigen values are real. Prove that Tr($T^2$) $\ge 0$.

Published on 07 Jun 2018 - 9:59

List Question

Example of Additive function but not linear from $C\to C$

Apparent contradiction in linear operator theory

Linear Transformation finding parameters

Can you find the result of a linear transformation by projecting a given vector onto known eigenvectors?

Prove that for any eigenvalue, its eigenspace is in direct sum with the sum of all other eigenspaces of distinct eigenvlaues.

How to find the inverse of a linear transformation?

Mapping from $\Bbb{R}^2$ onto $\Bbb{R}^3$

Special Case of the Riesz Representation Theorem

Importance of the kernel

Given the transformation $T:\Bbb R^5 \to\Bbb R^2$ where $T(x) = Ax$, how many rows and columns does matrix $A$ have?

Proof that every bounded linear operator between hilbert spaces has an adjoint.

Express the dimensions of the null space and range space of $S$ and $T$ in terms of $\dim V , \dim W$

Maximum nullity of a linear transformation given that the nullity of T restricted to a subspace is s.

Determination of all invariant subspaces

Assume T is an operator on a finite dimensional real vector space and all the eigen values are real. Prove that Tr($T^2$) $\ge 0$.

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