What will i learn??

• For a given matrix, compute its kernel, image, and (when meaningful) its determinant, and inverse.
• Demonstrate mastery of fundamental computations in vector and matrix algebra, as well as an understanding of applications of these approaches.
• Demonstrate understanding of the rank-nullity theorem and how it is used.
• Perform standard computations in linear algebra both by hand and using appropriate software.
• Confirm the correctness, or otherwise, of computations with simple verifications.

Description

Linear algebra is one of the key areas of mathematics which underpins a large part of students' future studies, both through more theoretical generalizations in abstract algebra, and in more concrete domains such as applied mathematics, statistics, operational research, and data science.

This is a course aims to provide students with a nuts-and-bolts mastery of the basic computations and manipulations in linear algebra, as well as an appreciation of its wide-ranging applications. This knowledge is a crucial requirement for later courses in pure and applied mathematics, as well as operational research and statistics.

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  Last Updated 07/31/2025

  1 Lessons00:10:00 Hours

 

Free

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