Matrix algebra: exercises and solutions

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This book features over 300 exercises and solutions on various topics in matrix algebra, ideal for independent study or fostering an engaging learning environment for both teachers and students. A foundational knowledge of matrix algebra, typically acquired in a first course, is recommended. The exercises are adapted from a previous work by the author and are designed to stand alone, complemented by comprehensive summaries of relevant terminology and notation. The content addresses both standard topics and those particularly relevant to statistics and related fields, with minimal overlap with other sources. David A. Harville, the author, is a research staff member at the IBM T.J. Watson Research Center and has a rich background, including ten years as a mathematical statistician at the Aerospace Research Laboratories and twenty years as a professor in the Department of Statistics at Iowa State University. His expertise in linear statistical models, which heavily relies on matrix algebra, is backed by extensive teaching experience in graduate-level courses. Harville has published over 70 research articles and is recognized as a Fellow of both the American Statistical Association and the Institute of Mathematical Statistics.