This Is Linear Algebra

Linear Systems
Overview on linear systems: 0.00%
Row Reduction: 0.00%
Plan for Row Reduction: 0.00%
Notation for Row Operations: 0.00%
Algorithm for Row Reduction: 0.00%
Matrices: 0.00%
Matrix Operations and Matrix Algebra: 0.00%
Matrix Equations: 0.00%
The Superposition Principle: 0.00%
Elementary Matrices: 0.00%
Vector Spaces and Linear Transformations
Vector Spaces: 0.00%
The vector space ℝn: 0.00%
Definition of a vector space: 0.00%
Subspaces: 0.00%
Linear combinations and linear independence: 0.00%
Constructing and Describing Vector Spaces and Subspaces: 0.00%
Spanning sets, row spaces, and column spaces: 0.00%
Nullspaces: 0.00%
Range: 0.00%
Bases and dimension: 0.00%
Coordinate systems: 0.00%
Vector spaces over ℂ: 0.00%
Linear Transformations: 0.00%
Definition: 0.00%
Matrix representations of transformations: 0.00%
Change of basis: 0.00%
Vector spaces of linear transformations: 0.00%
Eigenvalues and Eigenvectors
The Determinant: 0.00%
Cofactor expansion: 0.00%
Combinatorial definition: 0.00%
Properties of the determinant: 0.00%
Eigenvalues and Eigenvectors: 0.00%
Definition: 0.00%
Eigenspaces: 0.00%
The characteristic polynomial: 0.00%
Direct sum decomposition: 0.00%
Properties of Eigenvalues and Eigenvectors: 0.00%
Similarity and diagonalization: 0.00%
Complex eigenvalues and eigenvectors: 0.00%
Geometric versus algebraic multiplicity: 0.00%
Shur’s Theorem: 0.00%
Normal matrices: 0.00%
Generalized eigenvectors: 0.00%
Inner Product Spaces
Inner Products on ℝn: 0.00%
The dot product in ℝn: 0.00%
Symmetric bilinear pairings on ℝn: 0.00%
Orthogonal vectors and subspaces in ℝn: 0.00%
Orthonormal vectors and orthogonal matrices: 0.00%
Projections and Least-squares Approximations: 0.00%
Projection onto 1-dimensional subspaces: 0.00%
Gram-Schmidt orthogonalization: 0.00%
Least-squares approximations: 0.00%
Least-squares solutions and the Fundamental Subspaces theorem: 0.00%
Applications of least-squares solutions: 0.00%
Projection onto a subspace: 0.00%
Polynomial data fitting: 0.00%
Complex inner product spaces: 0.00%
The complex scalar product in ℂn: 0.00%
Conjugate-symmetric sesquilinear pairings on ℂn, and their representation: 0.00%
Unitary matrices: 0.00%
Singular Values
Singular value decomposition: 0.00%
Overall: 0%

https://ximera.osu.edu/certificate/H4sIAAAAAAACAyXMzQrCMBAE4FcJOdtmm9jV5uZJBI%2F14i1tFw22DeQHCuK7m%2BhhGRi%2B2TdfzUJc83OiENktkOc7nkpovtmFvKldSDVNSZQ2COyOzREAx25AQAQl1dRIpfJsMrG8kiCxAlmB6mGvW9RtVx8U3rMYXfKhGDHblYw384MGb0SkLQ7OvTKJNs5F9E8bGLvku%2F4oY6c%2FziaMzmcDny87GSVrvwAAAA%3D%3D/Sbqdoh%2FxJG%2FO%2BS2plaWWeEsOlJk%2FVqYxL1IiZvpKwoxAuH5%2FPuuL%2B9NxyCrhrMvIZDqak%2FTUc23XiaM4NOs%2B9SYH8TNOpC7CbgCWK%2BYYD1u841MZ0DofOpqhyPEtdLF%2B%2Bi%2FDP1rsrP%2BFEWPWz3GtmzplIcVZux7EJrMunZ8Om0xqeaoxMIw9lysvzSUfj5QhVChJsB%2FAQyEj8U2MWRtG1u%2B2Tp84PKBAn3Do7CjRRSco%2BTljBsKGZaPxU7vgD1W6NZRgyKoVio0cNjV8NDAkUJ4UyCzze5n%2FpTxS58Thd5BxOO0NihetgoCwocEjw8yUdjO2f1u4PZoNyXFTtmhODw%3D%3D