Ohio OER Linear Algebra

About this Project
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RRN-0010: A Brief Introduction to ℝn
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VEC-0010: Introduction to Vectors
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VEC-0020: Length of a Vector
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VEC-0030: Vector Arithmetic
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VEC-0035: Standard Unit Vectors in ℝn
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VEC-0040: Linear Combinations of Vectors
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VEC-0050: Dot Product and its Properties
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VEC-0060: Dot Product and the Angle Between Vectors
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VEC-0070: Orthogonal Projections
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RRN-0020: Parametric Equations of Lines
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RRN-0030: Planes in ℝ3
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SYS-0010: Introduction to Systems of Linear Equations
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SYS-0020: Augmented Matrix Notation and Elementary Row Operations
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SYS-0030: Gaussian Elimination and Rank
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MAT-0010: Addition and Scalar Multiplication of Matrices
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MAT-0020: Matrix Multiplication
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MAT-0023: Block Matrix Multiplication
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MAT-0025: Transpose of a Matrix
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MAT-0030: Linear Systems as Matrix and Linear Combination Equations
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VEC-0090: Span
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VEC-0100: Linear Independence
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SYS-0050: Homogeneous Linear Systems
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MAT-0050: The Inverse of a Matrix
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MAT-0060: Elementary Matrices
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VEC-0110: Linear Independence and Matrices
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VSP-0020: ℝn and Subspaces of ℝn
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VSP-0030: Introduction to Bases
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VSP-0035: Bases and Dimension
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VSP-0040: Subspaces of ℝn Associated with Matrices
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VSP-0050: Abstract Vector Spaces
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VSP-0060: Bases and Dimension for Abstract Vector Spaces
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LTR-0010: Introduction to Linear Transformations
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LTR-0020: Standard Matrix of a Linear Transformation from ℝn to ℝm
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LTR-0022: Linear Transformations of Abstract Vector Spaces
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LTR-0025: Linear Transformations and Bases
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LTR-0030: Composition and Inverses of Linear Transformations
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LTR-0035: Existence of the Inverse of a Linear Transformation
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LTR-0070: Geometric Transformations of the Plane
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LTR-0050: Image and Kernel of a Linear Transformation
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LTR-0060: Isomorphic Vector Spaces
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LTR-0080: Matrix of a Linear Transformation with Respect to Arbitrary Bases
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DET-0010: Definition of the Determinant – Expansion Along the First Row
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DET-0020: Definition of the Determinant – Expansion Along the First Column
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DET-0030: Elementary Row Operations and the Determinant
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DET-0040: Properties of the Determinant
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DET-0050: The Laplace Expansion Theorem
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DET-0060: Determinants and Inverses of Nonsingular Matrices
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VEC-0080: Cross Product and its Properties
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DET-0070: Determinants as Areas and Volumes
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EIG-0010: Describing Eigenvalues and Eigenvectors Algebraically and Geometrically
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EIG-0020: Finding Eigenvalues and Eigenvectors
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EIG-0040: Similar Matrices and Their Properties
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EIG-0050: Diagonalizable Matrices and Multiplicity
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Debugging Differential Equations
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Overall
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https://ximera.osu.edu/certificate/H4sIAAAAAAACA0XMvQrCMBQF4FcJmW1zkxptszmIi1AQXdxu2lQDbQP5AUF8dxMcnA7c893zpisuhip6SiZEcgvG0w1NJRR92cV4rF1ItRkTK9fAdnstQY4ttIgNb7TQMHUTyvw2YixTAoSsQFS8vQqhuFBbqKGT9ywGl3wohs3IznY16A%2Fzw2iPuYw2zqXrn9aR%2FnghP0D%2BIgzOZwGfL95eltC3AAAA/CSW7GrzfTYdoNwqP7E2zJY9rrGe%2BXwUMHls%2BHIVnXBkhhdNh084kwGg5Yihg6HH9PxOP6LiDMpAfqxEyJWVcajZXFE3ITnt4ZoISoi6VSZcNXn1tunuGkxWm9rwBgoVThhcALKA1th%2F8HMl%2B7NlGpq2kuUlCW6HpA03aTXIf74kTBB%2BjoKh%2Bp5hd3RoT1fBGVvRu9qB6OLiur7yIIaaMAQck1i3p4Ba3xW1WGzHvIJfW45agiYf79W%2FagnHIPhcmJWMw96Nchz4MSKjy4UhFObyq%2Fj%2Fmw5HkEnhUGjykWfdqtLNw4TPR8sjKjMYtpTj%2Bc8fGG8VpbuQNyOb7yamHqw%3D%3D