Linear algebra

Related lectures (24)

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Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.

Explores the equivalence between different properties of linear transformations represented by matrices and various matrix operations.

Explores symmetric matrices, their diagonalization, and properties like eigenvalues and eigenvectors.

Explores properties of 3x3 matrices with real coefficients and determinant calculation methods.

Explores matrix similarity, diagonalization, characteristic polynomials, eigenvalues, and eigenvectors in linear algebra.

Explores the properties of invertible matrices, including unique solutions and linear independence.

Explores the diagonalization of matrices through eigenvalues and eigenvectors, emphasizing the importance of bases and subspaces.

Explains the diagonalization of matrices, criteria, and significance of distinct eigenvalues.

Covers fundamental concepts in linear algebra, including linear equations, matrix operations, determinants, and vector spaces.