Online Linear Algebra Course For Credit

Please Note: Attendance and participation are mandatory in all University courses, and specific needs may differ by course. If attendance demands are not met, a student may be rerelocated from the course. Please review the Course Attendance Policy in the Catalog for even more indevelopment.

University of fairtradeexpo.org reserves the best to modify courses. While extensively accessible, not all courses are easily accessible in all locations or in both online and on-campus formats. Please inspect with an enrollment representative.

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Liclose to Algebra

Course level: Undergraduate


This course offers a survey of the concepts concerned straight algebra. Students examine the geometry of vectors, matrices, and straight equations, including Gauss-Jordan elimination. Students check out the concepts of straight independence, rank, and also direct transformations. Vector spaces, bases, and adjust of bases are discussed, consisting of orthogonality and also the Gram–Schmidt procedure. In enhancement, students investigate determinants, eigenvalues, and also eigenvectors.

Prerequisites


identical or better college math course

Required materials


Publish course details

Please Note: Attendance and participation are mandatory in all University courses, and certain needs might differ by course. If attendance demands are not met, a student may be rerelocated from the course. Please testimonial the Course Attendance Policy in the Catalog for even more indevelopment.

College of fairtradeexpo.org reserves the ideal to modify courses. While extensively obtainable, not all courses are easily accessible in all places or in both virtual and also on-campus styles. Please inspect through an enrollment representative.


What you"ll learn

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What you’ll learn

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Course objectives


Liclose to Equations and Matrix Algebra

Solve units of straight equations via m equations and also n unknowns.Solve linear equations using Gauss-Jordan elimination.Percreate matrix operations.Determine the invertibility of a matrix.

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Determinants and also Euclidean Vector Spaces

Calculate components.Calculate the dot, or inner, product of two vectors.Decreate a vector room into its subarea and orthogonal enhance.Simplify vectors into linear combinations making use of vector algebra.

Vector Spaces

Determine the kernel and selection of the matrix representation of a subarea of Rn. Determine a extending collection for independent vectors.Transcreate vectors in two- and three-dimensional spaces making use of matrices.Use straight transformations to transcreate a vector from Rn to Rm.

Eigenvalues, Eigenvectors, and also the Gram-Schmidt Process

Evaluate eigenworths and also eigenvectors using the characteristic polynomial.Percreate QR-Decomplace.

Linear Transdevelopment and Applications

Determine the kernel and also array of the matrix depiction of a subarea of R,n.Apply concepts of straight algebra to examples such as chemisattempt, electric circuits, and also economics (Leontief’s closed model).