‘Interesting’ is a subjective notion. One might distinguish several different categories of ‘interesting’ mathematical statements or problems. This article talks about a few of these categories with examples.
Problems from Chapter 4: Linear Operations, Section 1: The Dimension Formula
Problems from Chapter 3: Vector Spaces, Section 3: Vector Spaces
Problems from Chapter 2: Matrices, Section 2: Groups and Subgroups.
Problems from Chapter 1: Matrices, Miscellaneous Problems
More updates on this post to come.