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Omni-MATH / An n×n complex matrix A is called t-normal if AA^(t)=A^(t)A where A^(t) is the transpose of A. For each n, determine the maximum dimension of a linear space of complex n×n matrices…

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problem

An n×nn \times n complex matrix AA is called tt-normal if AAt=AtAA A^{t}=A^{t} A where AtA^{t} is the transpose of AA. For each nn, determine the maximum dimension of a linear space of complex n×nn \times n matrices consisting of t-normal matrices.
Plain-text mathematical notation (without MathML)
An n×n complex matrix A is called t-normal if AA^(t)=A^(t)A where A^(t) is the transpose of A. For each n, determine the maximum dimension of a linear space of complex n×n matrices consisting of t-normal matrices.
Original LaTeX notation
An $n \times n$ complex matrix $A$ is called $t$-normal if $A A^{t}=A^{t} A$ where $A^{t}$ is the transpose of $A$. For each $n$, determine the maximum dimension of a linear space of complex $n \times n$ matrices consisting of t-normal matrices.

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Source and history

task_id
1e23e695-1c2b-501b-80b6-cc9f3cc3afb0
task_key
test--1e23e695-1c2b-501b-80b6-cc9f3cc3afb0
task_revision_id
1
config / split
/ test

Official source

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