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Background: Linear Algebra

In: Visualizing Linear Models

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  • W. D. Brinda

    (Yale University, Statistics and Data Science)

Abstract

We will begin our course of study by reviewing the most relevant definitions and concepts of linear algebra. We will also expand on various aspects of orthogonal projection and spectral decomposition that are not necessarily covered in a first linear algebra course. This chapter is almost entirely self-contained as it builds from the ground up everything that we will need later in the text. Two exceptions are Theorems 1.3 and 1.4 which point to external references rather than being proven in this book or its exercise solutions.

Suggested Citation

  • W. D. Brinda, 2021. "Background: Linear Algebra," Springer Books, in: Visualizing Linear Models, chapter 0, pages 1-37, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-64167-2_1
    DOI: 10.1007/978-3-030-64167-2_1
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