grandes-ecoles 2014 QIB

grandes-ecoles · France · centrale-maths1__mp Matrices Matrix Norm, Convergence, and Inequality
Show that the map $(A, B) \mapsto \operatorname{Tr}\left({}^t A \times B\right)$ is an inner product on the space $\mathcal{M}_d(\mathbb{R})$. 
Show that the map $(A, B) \mapsto \operatorname{Tr}\left({}^t A \times B\right)$ is an inner product on the space $\mathcal{M}_d(\mathbb{R})$.
Paper Questions
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