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
Teaching hours
- CMLectures8h
- TDTutorial10,67h
- TDMMachine Tutorial1h
Assessment of knowledge
Initial assessment / Main session - Tests
Type of assessment | Type of test | Duration (in minutes) | Number of tests | Test coefficient | Eliminatory mark in the test | Remarks |
---|---|---|---|---|---|---|
Integral Continuous Control | Proctored homework | 1 |