Question

When the solution of an infinite system of linear algebraic equations exist and is bounded?

score 791 · Answer 1 · 2026-03-26 11:05:04

791

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When the solution of an infinite system of linear algebraic equations exist and is bounded?

Published on 26 Mar 2026 - 11:05

score 96 · Answer 2 · 2026-04-14 20:13:08

96

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Characterize the family of all $n\times n$ nonsingular matrices $A$ for which one step of the Gauss-Seidel algorithm solves $Ax=b$, starting at

Published on 14 Apr 2026 - 20:13

score 1.1k · Answer 3 · 2026-04-20 06:22:38

1.1k

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Find eigenvalues given the characteristic polynomial without finding the roots

Published on 20 Apr 2026 - 6:22

score 211 · Answer 4 · 2026-04-13 17:02:08

211

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Finding a basis $\beta$ to yield a diagonal matrix for a projection $T:V\to V$ on $W$ along $W'$

Published on 13 Apr 2026 - 17:02

score 132 · Answer 5 · 2026-04-09 13:09:24

132

Views

intuition behind finding fixed lines

Published on 09 Apr 2026 - 13:09

score 105 · Answer 6 · 2026-04-14 10:13:09

105

Views

Linear dependence for this particular example

Published on 14 Apr 2026 - 10:13

score 87 · Answer 7 · 2026-04-16 10:50:59

87

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The ring $R = F[X]/(X^2)$, and $(X^2)=0$?

Published on 16 Apr 2026 - 10:50

score 277 · Answer 8 · 2026-04-14 03:57:36

277

Views

Prove the following determinant

Published on 14 Apr 2026 - 3:57

score 254 · Answer 9 · 2026-04-10 11:40:42

254

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Equivalence of definitions of linear span

Published on 10 Apr 2026 - 11:40

score 20 · Answer 10 · 2026-04-15 06:45:09

20

Views

Proving existence of basis that can be constructed using Jordan Blocks.

Published on 15 Apr 2026 - 6:45

score 227 · Answer 11 · 2026-04-18 06:48:03

227

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Let $A$ be a $2\times2$ matrix with real entries such that $Tr(A)=0$ and $detA=-1$. [ISI 2014]

Published on 18 Apr 2026 - 6:48

score 51 · Answer 12 · 2026-04-12 04:33:22

51

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Duality on $R_3[X]$

Published on 12 Apr 2026 - 4:33

score 945 · Answer 13 · 2026-04-14 11:39:45

945

Views

Solve for volume of ellipsoid $(\mathbb x- \mathbf{\mu})^T \Sigma^{-1}(\mathbb x- \mathbf{\mu})=1/a$

Published on 14 Apr 2026 - 11:39

score 41 · Answer 14 · 2026-04-17 08:56:16

41

Views

Number of vectors spanning a vector space

Published on 17 Apr 2026 - 8:56

score 287 · Answer 15 · 2026-04-12 15:44:56

287

Views

Diagonalization of a Matrix. Having Trouble..

Published on 12 Apr 2026 - 15:44

List Question

When the solution of an infinite system of linear algebraic equations exist and is bounded?

Characterize the family of all $n\times n$ nonsingular matrices $A$ for which one step of the Gauss-Seidel algorithm solves $Ax=b$, starting at

Find eigenvalues given the characteristic polynomial without finding the roots

Finding a basis $\beta$ to yield a diagonal matrix for a projection $T:V\to V$ on $W$ along $W'$

intuition behind finding fixed lines

Linear dependence for this particular example

The ring $R = F[X]/(X^2)$, and $(X^2)=0$?

Prove the following determinant

Equivalence of definitions of linear span

Proving existence of basis that can be constructed using Jordan Blocks.

Let $A$ be a $2\times2$ matrix with real entries such that $Tr(A)=0$ and $detA=-1$. [ISI 2014]

Duality on $R_3[X]$

Solve for volume of ellipsoid $(\mathbb x- \mathbf{\mu})^T \Sigma^{-1}(\mathbb x- \mathbf{\mu})=1/a$

Number of vectors spanning a vector space

Diagonalization of a Matrix. Having Trouble..

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