Notes in Linear Algebra

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Status	Last Update	Fields
Published	09/09/2024	7.31 Complex Spectral Theorem
Published	09/09/2024	3.34 Matrix Summation. (Elements)
Published	09/09/2024	3.34 Matrix Summation. (Full)
Published	09/09/2024	5.39 Conditions for Upper-Triangular matrix
Published	09/09/2024	7.29 Real Spectral Theorem
Published	09/09/2024	3.44 Notation
Published	09/09/2024	3.46 Matrix multiplication.
Published	09/09/2024	5.55 Conditions equivalent to diagonalizability
Published	09/09/2024	7.38 Positive Operators
Published	09/09/2024	7.49 Characterization of Isometries
Published	09/09/2024	7.53 characterization of unitary operators
Published	09/09/2024	6.02 Definition: Inner Product
Published	09/09/2024	6.14 Cauchy-Schwarz
Published	09/09/2024	7.05 Properties of the adjoint
Published	09/09/2024	7.13 7.16 Orthogonality and zero matrix.
Published	09/09/2024	Determinant.
Published	09/09/2024	6.07 Definition: Norm
Published	09/09/2024	6.12 Pythagorean Theorem
Published	09/09/2024	6.13 Orthogonal Decomposition.
Published	09/09/2024	6.21 Parallelogram Equality
Published	09/09/2024	6.22 Orthonormal lists
Published	09/09/2024	6.24 Norm of Orthonormal Linear Combinations.
Published	09/09/2024	6.26 Bessel’s inequality.
Published	09/09/2024	6.30 Vectors as linear combinations of Orthonormal bases.
Published	09/09/2024	6.32 Gram Schmidt.
Published	09/09/2024	6.46 Orthogonal Complement
Published	09/09/2024	Markov probability
Published	09/09/2024	Markov irreducibility
Published	09/09/2024	Time set of a markov state
Published	09/09/2024	Period of markov state
Published	09/09/2024	Perron Frobenius
Published	09/09/2024	Mixing Time
Published	09/09/2024	TV Norm
Status	Last Update	Fields