Lecture 28 Parity of a Permutation
In this lecture we introduce the notion of parity of a permutation and study its properties. In particular we prove that the parity of the product of permutations is equal to the product of parities of factors. As an application we prove that for the 15 puzzle, the challenge of swapping 14 and 15 is not solvable. This is a lecture in the "Linear Algebra" course for students specializing in mathematics.
▶︎
Lecture 29 Formula for Determinant
▶︎
The sign of a permutation, composition of a permutations
▶︎
Vector and Scalar Resolute
▶︎
The parity of permutations and the Futurama theorem
▶︎
Parity of a Permutation Part 1
▶︎
Introduction to Permutations (Ordered Selections)
▶︎
We're 99.9% sure this pattern is true, but no one can prove it
▶︎
The Strange Math That Predicts (Almost) Anything
▶︎
Abstract Algebra: L9, even and odd permutations, 9-16-16
▶︎
Abstract Algebra - 5.1 Permutations, Composition, and Cycle Notation
▶︎
Crazy Ending... Magnus Carlsen Got Checkmated in a Brutal Way!!!
▶︎
Cycle Notation of Permutations - Abstract Algebra
▶︎
Group theory, abstraction, and the 196,883-dimensional monster
▶︎
The Strangest Things that Correlate with IQ
▶︎
Judge Can’t Stop Laughing At Sovereign Citizen’s Courtroom Meltdown!!!
▶︎
Symmetric Groups (Abstract Algebra)
▶︎
Linear Algebra II: Oxford Mathematics 1st Year Student Lecture - James Maynard
▶︎
Every Permutation as a Product of Disjoint Cycles | Group Theory | Proof | Permutation.
▶︎
JANITOR vs THE BIGGEST GUYS IN THE GYM. They Didn’t Expect THAT
▶︎