Matrices: Elementary Linear Algebra

Related lectures (26)

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

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

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

Explores matrices, inverses, and their applications in linear algebra, emphasizing composition and transformation properties.

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

Covers the concept of basis, linear transformations, matrices, inverses, determinants, and bijective transformations.

Covers matrix transposition, rank, and basis change in linear algebra, exploring invertibility criteria and basis relationships.

Covers matrix multiplication, properties, and inverses in linear algebra.

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

Covers linear algebra basics, including matrices, change of basis, and invertible matrices.