Introduction to Matrix Algebra

Catalog description

One lecture. Matrix operations (addition, product, determinant, inverse, row operations); common matrix types; matrix algebra. Systems of linear equations. Vector arithmetic. Students will be able to: perform vector arithmetic including vector addition and subtraction, vector scaling and vector dot products; apply vector arithmetic operations to geometric situations, including components, and determining orthogonality; perform calculations and operations on matrices; indicate when matrix operations are defined: transpose, sum, product, determinant, inverse; represent a matrix equation, a vector equation or a system of linear equations in any one of the other two forms; use the matrix form and row reduction to determine existence and uniqueness of solutions; compute the reduced row echelon form of a given matrix; solve a given equation or system of equations; identify the properties of common matrix classes, including triangular matrix, diagonal matrix, the zero matrix, the identity matrix; calculate the determinant of a square matrix; use the basic properties of determinants in calculations. Prerequisite(s): MAT 187 or higher.