Change of Basis and Eigenvalues

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Explains the diagonalization of linear transformations using eigenvectors and eigenvalues to form a diagonal matrix.

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

Covers diagonalization of matrices, eigenvectors, linear maps, and least squares method.

Explores basis transformation, eigenvalues, and linear operators in inner product spaces, emphasizing their significance in Quantum Mechanics.

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

Covers the reduction of a linear application and finding corresponding reduced forms and bases.

Explores algebraic and geometric multiplicities of eigenvalues in linear algebra.

Explores matrices, change of bases, eigenvectors, eigenvalues, and vector spaces.

Explains how to find free variables in matrix equations and analyze characteristic polynomials.

Explores normal equations, pseudo-solutions, unique solutions, and symmetric matrices in linear algebra.