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Cancelling polynomials and trigonalization

  • School / Prep

    PREPA DES INP

Internal code

JP3POLYN

Description


Endomorphism and matrix polynomials
Annulator polynomial, characteristic and minimal polynomial, link with eigenvalues, th. Cayley Hamilton
Kernel lemma
Trigonalization
Nilpotent endomorphisms and matrices
Jordan reduction
Applications: calculating the inverse and powers of a matrix, link with diagonalization, differential systems, linear system of recurrent sequences

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Teaching hours

  • CMLectures8h
  • TDTutorial10,67h
  • 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