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Results tagged with matrices
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user 148659
Questions where the notion matrix has an important or crucial role (for the latter, note the tag matrix-theory for potential use). Matrices appear in various parts of mathematics, and this tag is typically combined with other tags to make the general subject clear, such as an appropriate top-level tag ra.rings-and-algebras, co.combinatorics, etc. and other tags that might be applicable. There are also several more specialized tags concerning matrices.
2
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1
answer
576
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Using permutation matrix to convert a matrix into tridiagonal matrix [closed]
I noticed that permutation matrices with only row exchanges did not satisfy this condition. …
-1
votes
1
answer
323
views
Holder inequality for a general rectangular matrix
Let $A \in \mathbb{R}^{m\times n}$ and $p,q \in \mathbb{R}^{+}$ such that $\frac{1}{p}+\frac{1}{q}=1$. I am interested to prove the following:
$$ \|A\|_{p}=\|A^T\|_q$$
I have tried using Holder Ineq …
1
vote
1
answer
287
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Relation between the algebraic multiplicity of an eigenvalue and the subdiagonal elements of... [closed]
Show that if $T$ is a symmetric tridiagonal matrix and an eigenvalue $\lambda$ has multiplicity $k$, then at least $k−1$ subdiagonal elements of $T$ are zero.
If we consider a submatrix $B$ that …