Parallel Computing for Data Science

Appendix A

Review of Matrix Algebra

This book assumes the reader has had a course in linear algebra (or has

self-studied it, always the better approach). This appendix is intended as a

review of basic matrix algebra, or a quick treatment for those lacking this

background.

A.1 Terminology and Notation

A matrix is a rectangular array of numbers. A vector is a matrix with

only one row (a row vector or only one column (a column vector).

The expression, “the (i,j) element of a matrix,” will mean its element in

row i, column j.

Please note the following conventions:

• Capital letters, e.g. A and X, will be used to denote matrices and

vectors.

• Lower-case letters ...