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Linear
Algebra for Chemometricians
Course
Description
It
has been said that "linear algebra is the language of chemometrics."
Linear Algebra for Chemometricians provides the
necessary mathematical background required to understand what's
going on "under the hood" of most chemometric methods,
and makes chemometric literature accessible. This half-day course
introduces concepts that are required for a complete understanding
of common techniques such as Principal Components Analysis, Partial
Least Squares Regression, Multivariate Curve Resolution, etc.
Prerequisites
None.
Linear
Algebra for Chemometricians Course Outline
Definitions: scalar, vector, matrix
Vector and matrix addition and multiplication
Inner products and projections
Outer products
Solving systems of equations
Matrix rank
Least squares
Ill-conditioned problems
Singular Value Decomposition (SVD)
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