Ohio Open Ed Collaborative Linear Algebra

This content was created as part of an Ohio Department of Higher Education Innovation Grant to create Open Educational Resources for high enrollment courses. A team of faculty content collaborators, a librarian, and a faculty review team worked together to curate this content and assure that it meets the Transfer Assurance Guidelines for this course. The Linear Algebra Course Content is designed to help the instructor teach all of the objectives of the course and can be used as a whole or in pieces or modules. The full course is entitled Linear Algebra Course Content. This work was completed and the courses were posted in November 2018. Please visit ohioopened.org for more information about this initiative.

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Linear Algebra Course Content
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The Linear Algebra course was developed through the Ohio Department of Higher Education OER Innovation Grant. This work was completed and the course was posted in November 2018. The course is part of the Ohio Transfer Module and is also named OMT019. For more information about credit transfer between Ohio colleges and universities, please visit: www.ohiohighered.org/transfer.Team LeadAnna Davis                                         Ohio Dominican UniversityContent ContributorsPaul Bender                                       Ohio Dominican UniversityRosemarie Emanuele                        Ursuline CollegePaul Zachlin                                       Lakeland Community CollegeLibrarianDaniel Dotson                                    Ohio State University                     Review TeamJim Fowler                                         Ohio State UniversityJim Cottrill                                          Ohio Dominican University

Subject:
Mathematics
Material Type:
Full Course
Provider:
Ohio Open Ed Collaborative
Date Added:
06/29/2018
Linear Algebra Course Content, Determinants, DET-0020: Definition of the Determinant - Expansion Along the First Column
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We define the determinant of a square matrix in terms of cofactor expansion along the first column, and show that this definition is equivalent to the definition in terms of cofactor expansion along the first row.https://ximera.osu.edu/la/LinearAlgebra/DET-M-0020/main

Subject:
Mathematics
Algebra
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Linear Algebra Course Content, Linear Combinations, Linear Independence and Span, VEC-0040: Linear Combinations of Vectors
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We define a linear combination of vectors and examine whether a given vector may be expressed as a linear combination of other vectors, both algebraically and geometrically.https://ximera.osu.edu/la/LinearAlgebra/VEC-M-0040/main

Subject:
Mathematics
Algebra
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Linear Algebra Course Content, Linear Transformations, LTR-0020: Standard Matrix of a Linear Transformation
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We establish that every linear transformation of R^n is a matrix transformation, and define the standard matrix of a linear transformation.https://ximera.osu.edu/la/LinearAlgebra/LTR-M-0020/main

Subject:
Mathematics
Algebra
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Linear Algebra Course Content, Linear Transformations, LTR-0030: Composition and Inverses of Linear Transformations
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We define composition of linear transformations, inverse of a linear transformation, and discuss existence and uniqueness of inverses.https://ximera.osu.edu/la/LinearAlgebra/LTR-M-0030/main

Subject:
Mathematics
Algebra
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Linear Algebra Course Content, Matrix Algebra, MAT-0020: Matrix Multiplication
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We introduce matrix-vector and matrix-matrix multiplication, and interpret matrix-vector multiplication as linear combination of the columns of the matrix.https://ximera.osu.edu/la/LinearAlgebra/MAT-M-0020/main

Subject:
Mathematics
Algebra
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Linear Algebra Course Content, Matrix Algebra, MAT-0030: Linear Systems as Matrix and Linear Combination Equations
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We interpret linear systems as matrix equations and as equations involving linear combinations of vectors. We define singular and nonsingular matrices.https://ximera.osu.edu/la/LinearAlgebra/MAT-M-0030/main

Subject:
Mathematics
Algebra
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Linear Algebra Course Content, Systems of Linear Equations, SYS-0020: Augmented Matrix Notation and Elementary Row Operations
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We introduce the augmented matrix notation and solve linear system by carrying augmented matrices to row-echelon or reduced row-echelon form.https://ximera.osu.edu/la/LinearAlgebra/SYS-M-0020/main

Subject:
Mathematics
Algebra
Material Type:
Module
Provider:
Ohio Open Ed Collaborative