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This book provides a clear, easy-to-follow introduction to matrices and their use in solving systems of linear equations.
My signature “table approach” pairs plain-language notes with fully worked examples. No long proofs, just steps you need to solve problems with confidence. Topics covered include:

• Systems of linear equations and how many solutions they can have
• Gaussian elimination and row echelon form
• Reduced row echelon form (RREF) and Gauss-Jordan elimination
• Homogeneous systems and free variables
• Matrix addition, subtraction, and scalar multiplication
• Matrix Multiplication (and why order matters)
• Converting a system of linear equations into matrix form.
• Solving a linear system using with matrix inverse
• Finding the inverse of a 2×2 matrix in two different ways
• The transpose and trace of a matrix
• Diagonal, triangular, and symmetric matrices
• Checking your work with the Desmos Matrix Calculator and graphing calculator

This book has been formatted so that it is easy to read on both paperback and also on electronic devices with the Kindle app (laptop, iPad, Kindle E-reader, and iPhone).

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