grandes-ecoles 2023 Q2

grandes-ecoles · France · mines-ponts-maths1__pc Matrices Structured Matrix Characterization
Show that $S_n^+(\mathrm{R})$ and $S_n^{++}(\mathrm{R})$ are convex subsets of $M_n(\mathrm{R})$. Are they vector subspaces of $M_n(\mathrm{R})$? 
Show that $S_n^+(\mathrm{R})$ and $S_n^{++}(\mathrm{R})$ are convex subsets of $M_n(\mathrm{R})$. Are they vector subspaces of $M_n(\mathrm{R})$?
Paper Questions
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