List questions from eigenvalues-eigenvectors

Published on 25 Mar 2026 - 14:27

20

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Find eigen vectors of a "subsetted" matrix

Published on 25 Mar 2026 - 12:55

276

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Can an orthogonal non-symmetric 3x3 matrix have 3 real eigenvalues?

Published on 26 Mar 2026 - 16:04

148

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Calculate the eigenvalues and eigenvectors of 2 x 2 matrix

Published on 18 May 2019 - 19:17

80

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Can the eigenvectors of a linear operator in an infinite-dimensional space span the space and be linearly dependent at the same time?

Published on 26 Mar 2026 - 2:56

134

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Eigenvalues decrease with power

Published on 26 Mar 2026 - 23:51

373

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If $P(x)$ is characteristic polynomial of $A$ then is $P(A) = 0$?

Published on 19 May 2019 - 11:47

22

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Matrix Orthogonality

Published on 19 May 2019 - 13:52

220

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Matrix Normalization

Published on 19 May 2019 - 14:31

296

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How to project a vector $x$ onto the eigen-space, i.e. $x = \sum_{i=1}^{n} \langle w_i, x \rangle v_i$?

Published on 26 Mar 2026 - 1:34

1.3k

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Let $V$ be a real vector space and $E$ be an idempotent linear operator on $V$. Prove that $I + E$ is invertible.

Published on 25 Mar 2026 - 18:47

158

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How to prove that a $3\times 3$ matrix has only $2$ eigenvectors?

Published on 20 May 2019 - 15:18

621

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Complexity of QR-algorithm on a symmetric tridiagonal matrix

Published on 25 Mar 2026 - 1:35

2.7k

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Why are singular values of "complex" matrices always real and non-negative?

Published on 25 Mar 2026 - 23:36

331

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Characteristic polynomial and eigenvector of Frobenius matrix

Published on 21 May 2019 - 9:42

List Question

Spectral radius of a hollow symmetric block matrix

Find eigen vectors of a "subsetted" matrix

Can an orthogonal non-symmetric 3x3 matrix have 3 real eigenvalues?

Calculate the eigenvalues and eigenvectors of 2 x 2 matrix

Can the eigenvectors of a linear operator in an infinite-dimensional space span the space and be linearly dependent at the same time?

Eigenvalues decrease with power

If $P(x)$ is characteristic polynomial of $A$ then is $P(A) = 0$?

Matrix Orthogonality

Matrix Normalization

How to project a vector $x$ onto the eigen-space, i.e. $x = \sum_{i=1}^{n} \langle w_i, x \rangle v_i$?

Let $V$ be a real vector space and $E$ be an idempotent linear operator on $V$. Prove that $I + E$ is invertible.

How to prove that a $3\times 3$ matrix has only $2$ eigenvectors?

Complexity of QR-algorithm on a symmetric tridiagonal matrix

Why are singular values of "complex" matrices always real and non-negative?

Characteristic polynomial and eigenvector of Frobenius matrix

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