\(\newcommand{\K}{\mathbb{K}} \newcommand{\Q}{\mathbb{Q}} \newcommand{\N}{\mathbb{N}} \newcommand{\Z}{\mathbb{Z}} \newcommand{\R}{\mathbb{R}} \newcommand{\C}{\mathbb{C}} \newcommand{\L}{\mathcal{L}} \newcommand{\M}{\mathcal{M}} \newcommand{\B}{\mathscr B} \DeclareMathOperator{\card}{Card} \DeclareMathOperator{\tr}{tr} \DeclareMathOperator{\det}{det} \DeclareMathOperator{\rg}{rg} \DeclareMathOperator{\vect}{Vect} \DeclareMathOperator{\Id}{Id} \DeclareMathOperator{\Id}{Id} \DeclareMathOperator{\im}{Im} \DeclareMathOperator{\Ker}{Ker} \newcommand{\lt}{<} \newcommand{\gt}{>} \newcommand{\amp}{&} \)