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Problems
Step by step proof of the spectral theoremEigenvalues of positive matricesOne of them is invertiblePermutations of a matrixSubspaces spanned by...A basis of invertible matricesFermés emboités dans un compactFRThéorème de BaireFRThéorème de HeineFRComplémentaires connexes par arcs et densesFR tend vers 0FRMatrices with a diagonalizable powerSquare roots of symmetric positive matricesMatrices with same exponentialPowers of integer matricesIntegration and limitA square-integrable second derivative ?Hahn-Banach Theorem in finite dimensionA topological criterion of diagonalizabilityDensity and convexityContinuity of differentiationUnit ball in finite dimensionAn inequality on symmetric matrices
Solutions written · 19
Réduction sur FRUne base de matrices inversiblesFRA basis of invertible matricesFermés emboités dans un compactFRTopologie des hyperplansFRCompacité des ensembles de JuliaFRNorme invariante par similitudeFRLes ombres torduesFRUne inégalité sur des matrices symétriquesFRCesaro TheoremEndomorphism with all eigenvectorsA simple homeomorphism?Functions whose derivatives grow fastEquality with rootsDeterminant of a matrix with consecutive integersReal roots and derivative polynomial1,2,3... Shoot !Eigenvalues of orthogonal matricesTwo equations with integer functions