Linear Algebra: Essence & Form

This is an introductory text on linear algebra and its contemporary applications to data science, artificial intelligence, and more. It is intended for students who have seen matrix algebra (at the level of a high school course) and who want a deeper approach to what linear algebra means. The text is centered on the Fundamental Theorem of Linear Algebra as manifested by the four fundamental spaces of a linear transformation: kernel, coimage, image, and cokernel. The text features dozens of contemporary applications from data science, systems engineering, machine learning, robotics, and more.