MATH2221 — Introduction to Linear Algebra
MATH 2221 - Introduction to Linear Algebra MATH 2221 - Introduction to Linear Algebra 3 Credits Provides an introduction to linear algebra topics including: systems of linear equations, matrices, determinants, vector spaces, linear transformations, eigenvalues and eigenvectors, and selected applications. Familiarity with a computer algebra system is expected. Use of technology will be embedded throughout the course. Relate their dimensions to one another, and to the rank and nullity of the matrix. Determine whether a vector is in the span of a finite collection of vectors. Create and recognize row equivalent matrices and equal matrices. Demonstrate the understanding of simple proof techniques. Solve systems of linear equations using matrix methods including Gaussian Elimination, Gauss-Jordan Elimination, and by matrix equation representation. Write LU and elementary matrix factorizations of square matrices where defined. Perform operations on matrices including addition, subtraction, multiplication, transposition, and inversion. Compute, explain, and apply key properties and definitions related to eigenvalues and eigenvectors of a matrix. Evaluate inner products, construct and identify orthogonal sets of vectors and orthogonal matrices, and illustrate the Gram-Schmidt process. Compute the coordinate vector of a vector relative to a finite basis. Express the solution to Ax = b as a translation of the null space of A when Ax = b is consistent. Interpret the determinant of a mat
Prerequisites: MATH1134