Eigenvalues and eigenvectors, diagonalization, and the Cayley-Hamilton theorem. Key Educational Features Procedural Learning
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Theoretical frameworks and applications.
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Detailed exploration of definitions, Sarrus diagrams, minors, cofactors, and Laplace's expansion.
Mapping between vector spaces and finding the matrix representation of a transformation.
Matrix representation of linear maps.
Linear algebra is a "doing" subject. Work through the problems at the end of each chapter without looking at the solutions first.
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Linear transformations, kernel and image properties, and matrix representations. Advanced Topics
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Basic operations, types of matrices, and the properties of determinants.
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