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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:
05/07/2021
Linear Algebra Course Content, Basic Vector Proficiency, RRN-0020: Parametric Equations of Lines
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We use parametric equations to represent lines in R^2, R^3 and R^n.https://ximera.osu.edu/la/LinearAlgebra/RRN-M-0020/main

Subject:
Algebra
Mathematics
Material Type:
Module
Author:
OER Librarian
Date Added:
05/07/2021
Linear Algebra Course Content, Basic Vector Proficiency, RRN-0030: Planes in R^3
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We establish that a plane is determined by a point and a normal vector, and use this information to derive a general equation for planes in R^3.https://ximera.osu.edu/la/LinearAlgebra/RRN-M-0030/main

Subject:
Algebra
Mathematics
Material Type:
Module
Author:
OER Librarian
Date Added:
05/07/2021
Linear Algebra Course Content, Basic Vector Proficiency, VEC-0030: Vector Arithmetic
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We define vector addition and scalar multiplication algebraically and geometrically.https://ximera.osu.edu/la/LinearAlgebra/VEC-M-0030/main 

Subject:
Algebra
Material Type:
Module
Author:
OER Librarian
Date Added:
05/07/2021
Linear Algebra Course Content, Basic Vector Proficiency, VEC-0035: Standard Unit Vectors
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We introduce standard unit vectors in R^2, R^3 and R^n, and express a given vector as a linear combination of standard unit vectors.https://ximera.osu.edu/la/LinearAlgebra/VEC-M-0035/main

Subject:
Algebra
Material Type:
Module
Author:
OER Librarian
Date Added:
05/07/2021
Linear Algebra Course Content, Basic Vector Proficiency, VEC-0060: Dot Product and the Angle Between Vectors
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We state and prove the cosine formula for the dot product of two vectors, and show that two vectors are orthogonal if and only if their dot product is zero.https://ximera.osu.edu/la/LinearAlgebra/VEC-M-0060/main

Subject:
Algebra
Mathematics
Material Type:
Module
Author:
OER Librarian
Date Added:
05/07/2021
Linear Algebra Course Content, Determinants, DET-0010: Definition of the Determinant - Expansion Along the First Row
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We define the determinant of a square matrix in terms of cofactor expansion along the first row.https://ximera.osu.edu/la/LinearAlgebra/DET-M-0010/main

Subject:
Algebra
Mathematics
Material Type:
Module
Author:
OER Librarian
Date Added:
05/07/2021
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:
Algebra
Mathematics
Material Type:
Module
Author:
OER Librarian
Date Added:
05/07/2021
Linear Algebra Course Content, Determinants, DET-0030: Elementary Row Operations and the Determinant
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We examine the effect of elementary row operations on the determinant and use row reduction algorithm to compute the determinant.https://ximera.osu.edu/la/LinearAlgebra/DET-M-0030/main

Subject:
Algebra
Mathematics
Material Type:
Module
Author:
OER Librarian
Date Added:
05/07/2021
Linear Algebra Course Content, Eigenvalues, EIG-0020: Finding Eigenvalues and Eigenvectors
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We explore the theory behind finding the eigenvalues and associated eigenvectors of a square matrix.https://ximera.osu.edu/la/LinearAlgebra/EIG-M-0020/main

Subject:
Algebra
Mathematics
Material Type:
Module
Author:
OER Librarian
Date Added:
05/07/2021
Linear Algebra Course Content, Eigenvalues, EIG-0050: Diagonalizable Matrices and Multiplicity
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In this module we discuss algebraic multiplicity, geometric multiplicity, and their relationship to diagonalizability.https://ximera.osu.edu/la/LinearAlgebra/EIG-M-0050/main

Subject:
Algebra
Mathematics
Material Type:
Module
Author:
OER Librarian
Date Added:
05/07/2021