Matrix Powers and Inverse

Related lectures (26)

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Covers matrix operations and properties of matrices, including symmetric and anti-symmetric matrices.

Covers matrix addition, scalar multiplication, transposition, symmetry, and antisymmetry properties.

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

Explores diagonalization of symmetric matrices and their eigenvalues, emphasizing orthogonal properties.

Discusses eigenvalues, their calculation methods, and their applications in optimization and numerical analysis.

Covers the concept of inverse matrices and systems resolution, including the conditions for matrix invertibility and the Gauss-Jordan algorithm.

Covers linear systems, diagonal and triangular matrices, and LU factorization.

Explores the diagonalization of symmetric matrices through orthogonal decomposition and the spectral theorem.

Covers the fundamentals of linear equations, matrices, and systems of linear equations, including matrix operations and solutions.

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