In
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trace of an n × n square matrix A is defined to be the sum of the elements on the main diagonal (the diagonal from the upper left to the lower right) of A.. The
trace of a matrix is the sum of the (complex) eigenvalues, and it is invariant with respect to a change of basis.This characterization can be used to define the
trace of a
linear operator in general.
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I samma båt (nivå 1) This note covers the following topics:
Linear Algebra, Matrix
Algebra, Homogeneous Systems and Vector Subspaces, Basic Notions, Determinants and Eigenvalues, Diagonalization, The Exponential of a Matrix, Applications,Real Symmetric Matrices, Classification of Conics and Quadrics, Conics and the Method of Lagrange Multipliers, Normal Modes.
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