List questions from symmetric-matrices

Published on 05 Sep 2019 - 1:58

100

Views

Show that for a $n\times n$ symmetric, idempotent matrix $(a_{ij})$, $a_{ii} \ge a_{ii}^2$.

Published on 06 Sep 2019 - 4:32

56

Views

Trace of power of symmetric matrices

Published on 10 Sep 2019 - 16:33

387

Views

Inverse of a symmetric positive diagonally dominant, doubly stochastic matrix

Published on 26 Mar 2026 - 18:24

865

Views

Dual map and adjoint map

Published on 16 Sep 2019 - 11:37

126

Views

Can all vectors be expressed as the product of a symmetric matrix with non-zero off-diagonal elements and the vector of ones?

Published on 17 Sep 2019 - 10:18

86

Views

Trace of matrix in power of $k$ (real, symmetric)

Published on 27 Mar 2026 - 14:22

45

Views

Projection to C(x)

Published on 27 Mar 2026 - 14:21

97

Views

A bound on the eigenvalues of a product

Published on 26 Mar 2026 - 4:30

1.6k

Views

One and only one method to write A as sum of symmetric matrix and skew symmetric matrix

Published on 25 Sep 2019 - 5:35

4.4k

Views

Max eigenvalue of symmetric matrix and its relation to diagonal values

Published on 26 Mar 2026 - 4:30

470

Views

Prove symmetric matrix properties

Published on 25 Sep 2019 - 14:48

1.3k

Views

Eigenvalues of a positive principal minors symmetric matrix

Published on 26 Mar 2026 - 18:50

70

Views

Since Hessians are symmetric, it holds that Hessians have all real eigenvalues

Published on 25 Mar 2026 - 17:22

421

Views

Informative proof that any real-valued symmetric matrix only has real eigenvalues

Published on 25 Mar 2026 - 17:19

List Question

Why are Hermitian matrices called a generalization of real symmetric matrices?

Show that for a $n\times n$ symmetric, idempotent matrix $(a_{ij})$, $a_{ii} \ge a_{ii}^2$.

Trace of power of symmetric matrices

Inverse of a symmetric positive diagonally dominant, doubly stochastic matrix

Dual map and adjoint map

Can all vectors be expressed as the product of a symmetric matrix with non-zero off-diagonal elements and the vector of ones?

Trace of matrix in power of $k$ (real, symmetric)

Projection to C(x)

A bound on the eigenvalues of a product

One and only one method to write A as sum of symmetric matrix and skew symmetric matrix

Max eigenvalue of symmetric matrix and its relation to diagonal values

Prove symmetric matrix properties

Eigenvalues of a positive principal minors symmetric matrix

Since Hessians are symmetric, it holds that Hessians have all real eigenvalues

Informative proof that any real-valued symmetric matrix only has real eigenvalues

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