# MAT 211

Title: Introduction to Linear Algebra

Description: Introduction to the theory of linear algebra with some applications; vectors, vector spaces, bases and dimension, applications to geometry, linear transformations and rank, eigenvalues and eigenvectors, determinants and inner products. May not be taken for credit in addition to AMS 210.

Prerequisite: C or higher in AMS 151 or MAT 131 or 141 or coregistration in MAT 126 or level 7 on the mathematics placement examination

SBC: STEM+

Credits: 3

Textbook:

Note: Subject to change - do not buy before confirming with the course instructor

Major Topics Covered:

• Systems of Linear Equations
• Gauss Elimination and Row Echelon Form
• Vectors and Matrices
• Linear Transformations
• Matrix Multiplication, Inverse Matrices
• Image and Kernel of a Linear Transformation
• Subspaces of $R^n$
• Linear Independence, Basis, and Dimension
• Coordinates
• Inner Product Spaces
• Projections
• Orthonormal Bases and Gram-Schmidt Orthogonalization
• Determinants
• Eigenvalues and Eigenvectors
• Diagonalization