List questions from linear-algebra

Published on 28 Mar 2026 - 3:00

114

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How do I determine if a subset is a vector space/linear space living in the ambient space of a R3? How do I guess the dimension?

Published on 07 Apr 2026 - 11:18

444

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When is the right eigenvector of a Markov Chain not constant?

Published on 24 Mar 2026 - 22:01

1.9k

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Minimum Least Squares Solution Using Pseudo Inverse (Derived from SVD) Is The Minimum Norm Solution - Extension from Vectors to Matrices

Published on 24 Mar 2026 - 23:44

1.4k

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How to prove that $X^{T}X$ is singular if $X$ is singular.

Published on 27 Mar 2026 - 7:14

68

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Find linear map representation in another basis

Published on 29 Mar 2018 - 19:12

1.3k

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Find the least squares error vector e=b-Ax resulting from the least squares solution x and verify that it is orthogonal to the column space of A?

Published on 26 Mar 2026 - 17:14

80

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Show that $V=U\oplus W$ and $T=r_{U,W}$

Published on 26 Mar 2026 - 9:41

82

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Which Operation, Similar to a Log(), Keeps All Eigenvalues Positive?

Published on 27 Mar 2026 - 19:31

93

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Jordan form and linear transformation

Published on 05 Apr 2026 - 16:55

202

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Knowing that $A^2+B^2=\sqrt{2+\sqrt{2}}\cdot AB$, prove that $n$ is a multiple of $16$

Published on 26 Mar 2026 - 15:17

214

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Basis of Kernel and image of matrix

Published on 07 Apr 2026 - 12:49

95

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Why $\frac{dx^TA}{dx}=A^T$ instead of $A$

Published on 25 Mar 2026 - 6:05

323

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Given overdetermined system $Ax=b$, how can we compute $c^T\hat{x}$?

Published on 26 Mar 2026 - 17:18

241

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Show that a matrix is nonsingular

Published on 09 Apr 2026 - 2:49

List Question

A rational matrix such that $A^{2017}=I_n$

How do I determine if a subset is a vector space/linear space living in the ambient space of a R3? How do I guess the dimension?

When is the right eigenvector of a Markov Chain not constant?

Minimum Least Squares Solution Using Pseudo Inverse (Derived from SVD) Is The Minimum Norm Solution - Extension from Vectors to Matrices

How to prove that $X^{T}X$ is singular if $X$ is singular.

Find linear map representation in another basis

Find the least squares error vector e=b-Ax resulting from the least squares solution x and verify that it is orthogonal to the column space of A?

Show that $V=U\oplus W$ and $T=r_{U,W}$

Which Operation, Similar to a Log(), Keeps All Eigenvalues Positive?

Jordan form and linear transformation

Knowing that $A^2+B^2=\sqrt{2+\sqrt{2}}\cdot AB$, prove that $n$ is a multiple of $16$

Basis of Kernel and image of matrix

Why $\frac{dx^TA}{dx}=A^T$ instead of $A$

Given overdetermined system $Ax=b$, how can we compute $c^T\hat{x}$?

Show that a matrix is nonsingular

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