The author has collected well over 300 exercises from his earlier book Matrix Algebra From a Statistician’s Perspective into a separate volume and he added solutions. The book also contains extensive and detailed summaries of the relevant terminology and notation. It is thus accessible to anyone familiar with basic concepts of matrix theory and linear algebra. It will be very useful for any teacher of a linear algebra course as a source of exercises of various levels of difficulty. Besides the standard topics covered in any course of linear algebra there are also sections on generalized inverses, matrix differentiation, Kronecker products, minimization of a second degree polynomial subject to linear constraints, and the Moore-Penrose inverse. The second to last section contains various applications of the spectral decomposition of symmetric matrices.