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Determinants

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Overview

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This course develops determinants through geometric interpretations, algebraic properties, cofactor expansion, row reduction, matrix inverses, Cramer’s Rule, and applications to volumes.

Syllabus

Area of a parallelogram.
Abby.
Determinants and Bomberman.
Multilinear Algebra.
Determinant Puzzle.
Cofactor expansion.
Determinants and Row Reduction.
Determinants and row-reduction.
Vandermonde Determinant.
Vandermonde Determinant.
Neat determinant.
det AB = det A det B.
Determinant of a block matrix.
det A^T = det A.
Det A-1.
Cramer's Rule.
Why Cramer Rule Works.
Inverses using determinants.
Adjugate Matrix.
Determinants and Volumes.
Characterization of the determinant.
Determinant Battle.
a beautiful determinant derivation.

Taught by

Dr Peyam

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