grandes-ecoles 2014 QI.E.3

grandes-ecoles · France · centrale-maths2__pc Matrices Linear Transformation and Endomorphism Properties
We denote by $p(n)$ the largest integer $p \geqslant 1$ such that $E$ admits an H-system of cardinality $p$. Write, for each of the integers $n = 1, 2, 4$, an H-system of matrices of size $n$ of length $p(n)$.
We denote by $p(n)$ the largest integer $p \geqslant 1$ such that $E$ admits an H-system of cardinality $p$.\\
Write, for each of the integers $n = 1, 2, 4$, an H-system of matrices of size $n$ of length $p(n)$.