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Related lectures (27)
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Diagonalisation of Symmetric Matrix by Orthogonal Matrix
Covers the method of diagonalizing a symmetric matrix using an orthogonal matrix.
Pseudo-Euclidean Spaces: Isometries and Bases
Explores pseudo-Euclidean spaces, emphasizing isometries and bases in vector spaces with non-degenerate quadratic forms.
Non-Negative Definite Matrices and Covariance Matrices
Covers non-negative definite matrices, covariance matrices, and Principal Component Analysis for optimal dimension reduction.
Diagonalization of Symmetric Matrices
Explores diagonalization of symmetric matrices and their eigenvalues, emphasizing orthogonal properties.
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Linear Quadratic (LQ) Optimal Control: Proof of Theorem
Covers the proof of the recursive formula for the optimal gains in LQ control over a finite horizon.
Characteristic Polynomials and Similar Matrices
Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.