List questions from linear-algebra

Published on 14 Apr 2026 - 2:48

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find the matrix $ \ A' \ $ with respect to the basis $ \ B'=\{(-2,1), \ (-1,1) \} \ $

Published on 16 Apr 2026 - 12:00

29

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Questions in the process of finding the first principal component vector.

Published on 11 Apr 2026 - 6:18

86

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Does $f(v,w) $ define an inner product?

Published on 13 Apr 2026 - 10:16

143

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Without Calculation, why is $Q^{-1}$ a Matrix of Rotation

Published on 11 May 2026 - 2:10

594

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Naive Gaussian Elimination vs Scaled Partial Pivoting

Published on 14 May 2026 - 17:09

167

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Is this a natural transformation?

Published on 09 Apr 2026 - 21:11

269

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The Curve of Best fit in the Least Squares Sense

Published on 14 May 2026 - 15:06

130

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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 15 Apr 2026 - 23:27

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What does it mean for a ring to have an involution? Are there any examples?

Published on 02 May 2026 - 20:20

208

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Lipshitz constant for $||Ax - b||_2^2$

Published on 16 Apr 2026 - 11:26

950

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Derivative of the nuclear norm ${\left\| {XA} \right\|_*}$ with respect to $X$

Published on 07 May 2026 - 5:29

7k

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Actual example of tensor contraction

Published on 10 May 2026 - 17:18

66

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Can we always find an invertible matrix from a non-invertible one

Published on 13 Apr 2026 - 14:50

209

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Prescribing the dimension of intersections of sub-vector spaces

Published on 10 May 2026 - 15:19

List Question

Linear Algebra: Ax=b. Finding b, given x and A

find the matrix $ \ A' \ $ with respect to the basis $ \ B'=\{(-2,1), \ (-1,1) \} \ $

Questions in the process of finding the first principal component vector.

Does $f(v,w) $ define an inner product?

Without Calculation, why is $Q^{-1}$ a Matrix of Rotation

Naive Gaussian Elimination vs Scaled Partial Pivoting

Is this a natural transformation?

The Curve of Best fit in the Least Squares Sense

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

What does it mean for a ring to have an involution? Are there any examples?

Lipshitz constant for $||Ax - b||_2^2$

Derivative of the nuclear norm ${\left\| {XA} \right\|_*}$ with respect to $X$

Actual example of tensor contraction

Can we always find an invertible matrix from a non-invertible one

Prescribing the dimension of intersections of sub-vector spaces

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