Characteristic Polynomial: Definition & Examples

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Covers the definition of the determinant of a matrix and provides examples for calculation.

Covers the composition and product of matrices, including matrix multiplication.

Explores matrix operations, rank determination, kernel dimensions, and basis concepts in linear algebra.

Covers matrices, linear applications, vector spaces, and bijective functions.

Explores subspaces in linear algebra and transformations, including kernels and images of linear transformations.

Covers the definitions and properties of matrices, including matrix operations and determinants.

Explores linear applications in R² and matrix representation, including basis, operations, and geometric interpretation of transformations.

Explores matrix representations of linear maps and their invariance, using examples and special cases.

Showcases a non-diagonalizable matrix example and explores eigenvalues and eigenvectors.