MA 262: 3.1-3.4 Review- Intro to Linear Systems, Matrices & Gaussian Elimination, Reduced-Row Echelon Matrices, & Matrix Operations

Review of lessons 3.1, 3.2, 3.3, and 3.4 for MA 262 (Linear Algebra & Differential Equations) at Purdue University. Content based on class textbook Differential Equations & Linear Algebra by C. Henry Edwards and David E. Penney (ISBN: 9780536264923). 3.1 introduces linear systems by defining requirements and possible solution outcomes. 3.2 covers matrices and Gaussian elimination, specifically reviewing the details of matrix construction, types of matrices (i.e. coefficient matrix, augmented matrix), elementary operations on matrices, and the procedure to reduce matrices (Gaussian elimination). Concepts such as free variables and leading variables defined. 3.3 distinguishes the unique properties of reduced row echelon matrices and lays out the procedure to obtain them. 3.4 covers the matrix operation of multiplication (definitionally). Example problems included throughout.