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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

Transferable Skills

  • further training in general mathematics skills

  • learning to write down a conclusion in a clear and precise way.


For detailed information go to Timetable in Brightspace

You will find the timetables for all courses and degree programmes of Leiden University in the tool MyTimetable (login). Any teaching activities that you have sucessfully registered for in MyStudyMap will automatically be displayed in MyTimeTable. Any timetables that you add manually, will be saved and automatically displayed the next time you sign in.

MyTimetable allows you to integrate your timetable with your calendar apps such as Outlook, Google Calendar, Apple Calendar and other calendar apps on your smartphone. Any timetable changes will be automatically synced with your calendar. If you wish, you can also receive an email notification of the change. You can turn notifications on in ‘Settings’ (after login).

For more information, watch the video or go the the 'help-page' in MyTimetable. Please note: Joint Degree students Leiden/Delft have to merge their two different timetables into one. This video explains how to do this.

Mode of instruction

See Brightspace

Assessment method

  • 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.

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).


From the academic year 2022-2023 on every student has to register for courses with the new enrollment tool MyStudyMap. There are two registration periods per year: registration for the fall semester opens in July and registration for the spring semester opens in December. Please see this page for more information.

Please note that it is compulsory to both preregister and confirm your participation for every exam and retake. Not being registered for a course means that you are not allowed to participate in the final exam of the course. Confirming your exam participation is possible until ten days before the exam.
Extensive FAQ's on MyStudymap can be found here.


Dr. Robert-Jan Kooman 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.