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/H4sIAAAAAAACA0XMvQrCMBQF4FcJmW1z2zQtzeYgLkJBdHFLk6sG2gbyA4L47iY4OB2457vnTTe1IpX0mDBEcg3o6Y6mEpK%2B7Ipe1S6kGk1i5RpYP%2BDMOQ4dn7kW4x2UFsaMfX4zKpapFlpRQVdBcwGQvJFc1K3obllol3wohi2KneyGyu%2BXB85e5TLauJRuelpHpsOZ%2FAD5i6CdzwI%2BXzvPpNq3AAAA/2sLwXr8UoOu4SuJsaz9lJO32y2ZqjpOIlom8jiXanD6s1o4YhC4gUKda7Dp4pwjom8HXhsKx3puZuO0sbl03POZ0KKtMgSkGzoKmSDm0lFH9pWFl67%2FuNvbNNvzMkFhIgk%2BrYrnEdv5SYACdCOj5vHB4iFdGFnflo5Sq%2BZi7wlmRJ5CNtREtk3QREzz%2Bq5x76ZzoTMFFw6Afzkch5AZddRYZIT4r0uDcpQy8J3eeSZJikHm0evdiVNsuGHst4W83EJ%2B2M%2BA%2FJARyHMg6jZT%2FX8E30zxULzdJMEiCoGK%2BZOP6CYve5O%2FpqyROUN2lKnZZAS3dHAeGmmBghfi2N5s4eA%3D%3D