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Determinants
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Particular types of matrices
Definition of trace of a matrix
Cofactors
Determinants and operations on matrices
Determinants axiomatically
The determinant of a matrix measures the area/volume of the parallelogram/parallelipiped determined by its columns.
The determinant of the matrix of a linear transformation is the factor by which the area/volume changes.
Definition of adjugate/classical adjoint of a matrix
A matrix is called ill-conditioned if it is nearly singular
The condition number of matrix measures how close it is to being singular
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The condition number of matrix measures how close it is to being singular
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Determinants