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Lecture
Rank Revisited: Line and Column
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Linear Algebra: Subspaces and Transformations
Explores subspaces in linear algebra and transformations, including kernels and images of linear transformations.
Linear Algebra Exercises
Covers exercises related to linear algebra, focusing on finding bases and completing them in a vector space.
Matrix Row Rank and Column Rank
Explores the equality of row spaces for equivalent row matrices and the determination of row ranks.
Linear Transformations: Polynomials and Bases
Covers linear transformations between polynomial spaces and explores examples of linear independence and bases.
Linear Independence: Definition and Examples
Explores the concept of linear independence in vector spaces through definitions and illustrative examples.
Linear Algebra: Matrices and Linear Applications
Covers matrices, linear applications, vector spaces, and bijective functions.
Row and Column Space of a Matrix
Explores the row and column space of a matrix, defining vector spaces generated by its rows and columns.