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Title
Applications of Gaussian elimination (Part 1)
Authors
Educational level
Higher Education
Level
medium
Description
After recalling the concepts of matrix in echelon form and of elementary operation (for either rows or columns), three basic utilities derived from Gaussian elimination are presented, pointing out in each case if the permitted elementary operations only act on the rows or only act on the columns, or can act on both rows and columns at the same time. These utilities are: rank of a matrix; determinant of a square matrix; basis and implicit equations of a subspace of a finite dimensional real or complex vector space. With examples and a quick test (editable pptx).
Licence
CC-BY
Type
Tutorial
Category
Linear algebra – Matrix calculus
Keywords
Elementary operation, Matrix in echelon form, Rank of a matrix, Determinant of a matrix
File
UPC-022-TUT-EN.pptx