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Lineaire Algebra 2 NA


Admission Requirements

Lineaire Algebra 1 or 1NA


This course is a direct continuation of the course Linear Algebra 1NA. On the one hand a couple of new subjects are treated, on the other hand more emphasis is laid on a more abstract treatment and vector spaces over complex numbers are considered. It is in this more abstract form that the power of the subject becomes manifest. Abstract linear algebra lies at the basis of modern Quantum Mechanics. Attention is given to a few applications in physics, mainly in the filed of Classical Mechanics.

Course Objectives

After finishing this course you have an operational knowledge of the following concepts and you are able to make (simple) problems concerning the following subjects: • real and complex vector spaces

  • linear maps, the matrix of a linear maps

  • scalar products on vector spaces • orthogonality, orthogonal projections • transformations of bases

  • special linear maps: hermitian, unitary, orthogonal, normal maps • quadratic and hermitian forms • spectral theorems


For detailed information go to Timetable in Brightspace

Mode of instruction

See Brightspace


  • written exam with open questions

  • (optional) homework

By handing in homework (optional!) a bonus of 0.5 maximum can be earned that will be added to the grade of the exam. This bonus is only given if the total grade of the exam is at least 5.5.

In the same academic year a retake exam will be organised. This will be in the form of a single exam about the entire course matter. The homework bonus grade is not valid for the retake.


Instructions and course material can be found on Brightspace. Registration for Brightspace occurs automatically when students enroll in uSis via uSis by registration for a class activity using a class number

Reading list

Lecture notes can be downloaded via Brightspace. It is also possible to purchase a hard copy at the secretariat of the Mathematical Institue (Snellius building).


Dr. Robert-Jan Kooman kooman@math.leidenuniv.nl Contactgegevens docent: Dr. R.J. Kooman


Students who are doing a double bachelor Natuurkunde met Wiskunde of Sterrenkunde met Wiskunde, take the course Lineaire algebra 2 with Mathematics.