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Reduction of endomorphisms

  • School / Prep

    PREPA DES INP

Internal code

JP3ENDOM

Description


Eigenvalue and eigenvector, spectrum, sep in direct sum, sev stable by an endomorphism and matrix representation
Characteristic polynomial, link with eigenvalues, multiplicity of an eigenvalue
Diagonalization, important special cases
Applications to the study of differential systems, linear system of recurrent sequences, finding the commutant of a diagonalizable matrix.

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Teaching hours

  • CMLectures5,33h
  • TDTutorial9,33h
  • TDMMachine Tutorial1h

Assessment of knowledge

Initial assessment / Main session - Tests

Type of assessmentType of testDuration (in minutes)Number of testsTest coefficientEliminatory mark in the testRemarks
Integral Continuous ControlProctored homework1