MATH 230 - Linear Algebra I

Institution:

Point Park University

Subject:

MATH

Description:

System of equations, Gaussian procedure, matrix algebra, determinants, geometry of two and three dimensional vectors, vector space Rn, subspaces, linear independence and spanning, basis and dimension, eigenvalues and eigenvectors. Course Objectives (1) Add matrices, multiply matrices by a scalar, and multiply matrices together. (2) Solve a system of linear equations by means of elementary row operations on its augmented matrix. (3) Compute and use the rank of a matrix to decide if the equations are consistent, independent, or dependent. (4) Find the inverse of a matrix by means of row operations or decide if the inverse does not exist. (5) Define, describe, and use the determinant of matrix and evaluate it by means of elementary row operations. (6) Define and calculate the trace of a square matrix and use its properties. (7) Define and identify subspaces of R" and find dimension. (8) Determine if a given set of vectors is linearly dependent. (9) Determine the rank of a set of vectors and use the rank to decide if a set of vectors is independent, dependent, or spans a specified subspace. (10) Reduce a spanning set of a subspace to a basis and to extend a linearly independent set to a basis. (11) Define linear function, determine if a function is linear, and to determine the matrix of a linear function in the standard bases of the domain and range spaces. (12) Find bases for the nullspace, kernel, and range of a linear function. (13) Find the eigenvalues and eigenvectors of a matrix and to diagonalize it if possible. (14) Formulate application problems in the language of linear algebra and solve them.

Credits:

3.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.pointpark.edu

Phone Number:

(412) 391-4100

Regional Accreditation:

Middle States Association of Colleges and Schools

Calendar System:

Semester

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