MLC Resources for ALGEBRA II
This page contains a small number of resources for the University of Adelaide course "Algebra II". To find out more about this course, please search for it on the Course Information Website
Revision of first-year linear algebra
In Algebra II you will learn about general vector spaces. This will all make much more sense if you remember well what you learned about vector spaces in Maths 1A and Maths 1B. The following resources created for Maths 1B students will help you revise this content.
Subspaces, basis, dimension (from Maths 1A)
The following PDF document contains written worked examples for this topic, with links to videos you can watch on YouTube of the examples written live. Use them to learn problem-solving skills relevant to the topic of subspaces.
To watch the MLC's revision seminar on Subspaces of Rn, as given to Maths 1A students in 2011, or to download it, follow the link below:
Notes taken on the document camera in the above seminar can be downloaded from this link:
Orthonormal basis (Maths 1B)
In Summer Semester 2012, the MLC ran a revision seminar on orthonormal bases and diagonalisation. To watch the video or download it, follow this link (note that only the first half is about orthonormal basis)
Linear transformations (Maths 1B)
In Semester 2, 2012, the MLC ran a revision seminar on linear transformations. To watch the video or download it, follow the links below:
- Linear transformations revision seminar part 1 video page
- Linear transformations revision seminar part 2 video page
To download a PDF copy of the notes written on the document camera during the seminar, follow the link below:
