Linear Algebra - Lecture 2: Vectors in Higher Dimensions

We introduce 3-dimensional and higher-dimensional vectors. We discuss how to add them and multiply them by scalars, and we prove our first theorem. Textbook: http://www.njohnston.ca/publications/introduction-to-linear-and-matrix-algebra/ Blank course notes (lectures 1-3): http://www.njohnston.ca/la_week1.pdf Annotated course notes (lectures 1-3): http://www.njohnston.ca/la_week1_annotated.pdf Please leave a comment below if you have any questions, comments, or corrections. Timestamps: 00:00 - Introduction 00:27 - Vectors in 3D 04:33 - Vectors in higher dimensions 07:30 - Properties of vector operations 15:16 - Consequences and example