grandes-ecoles 2022 Q11

grandes-ecoles · France · centrale-maths1__psi Matrices Linear Transformation and Endomorphism Properties

Let $A$ be a real antisymmetric and nilpotent matrix. Show that $A ^ { \top } A = 0 _ { n }$, then that $A = 0 _ { n }$.

Let $A$ be a real antisymmetric and nilpotent matrix. Show that $A ^ { \top } A = 0 _ { n }$, then that $A = 0 _ { n }$.