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Lecture
Quadratic Forms in IR³
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Related lectures (26)
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Symmetric Matrices and Quadratic Forms
Explores symmetric matrices, diagonalization, and quadratic forms properties.
Symmetric Matrices and Quadratic Forms
Explores symmetric matrices, quadratic forms, diagonalization, and definiteness with examples and calculations.
Symmetric Matrices: Diagonalization
Explores symmetric matrices, their diagonalization, and properties like eigenvalues and eigenvectors.
Matrices and Quadratic Forms: Key Concepts in Linear Algebra
Provides an overview of symmetric matrices, quadratic forms, and their applications in linear algebra and analysis.
Principal Axes Theorem
Explains the Principal Axes Theorem for symmetric matrices and quadratic forms, showing the existence of orthogonal matrices for diagonalization.
Classification of Quadratic Forms
Explores the classification of quadratic forms based on eigenvalues and orthogonal diagonalization of symmetric matrices.
Diagonalization of Symmetric Matrices
Explores diagonalization of symmetric matrices and their eigenvalues, emphasizing orthogonal properties.
Matrix Decomposition: Triangular and Spectral
Covers the decomposition of matrices into triangular blocks and spectral decomposition.
Spectral Theorem Recap
Revisits the spectral theorem for symmetric matrices, emphasizing orthogonally diagonalizable properties and its equivalence with symmetric bilinear forms.
Decomposition Spectral: Symmetric Matrices
Covers the decomposition of symmetric matrices into eigenvalues and eigenvectors.
