Search results
Create the page "Permutation matrix" on this wiki! See also the search results found.
- ...each row and each column and <math>0</math> everywhere else, are called ''permutation matrices''. Observe how <math>P_1
=\begin{bm ...th> and <math>D=\sum_{i=1}^{n!}c_iP_i</math>, where <math>P_i</math> are ''permutation matrices''.8 KB (1,346 words) - 11:53, 8 October 2023 - For some fixed value of <math>n </math>, let <math>\sigma </math> be the [[permutation]] of the first <math>n </math> natural numbers such that <math> a_{\sigma(1 \begin{matrix}3 KB (448 words) - 16:58, 20 August 2008
- ...ric sum''' of <math>n</math> variables is a sum that is unchanged by any [[permutation]] of its variables. ...on''' of <math>n</math> variables is a function that is unchanged by any [[permutation]] of its variables. The symmetric sum of a symmetric function <math>f(x_1,1 KB (255 words) - 11:52, 8 October 2023
- ...es called a '''permutation group''' on <math>M</math>. In this context, a permutation is to be thought of as a [[bijective]] [[function]] from a [[set]] of size ...then for <math>a \in G</math>, the mapping <math>x \mapsto ax</math> is a permutation of <math>G</math>. Thus symmetric groups can be considered universal with10 KB (1,668 words) - 14:33, 25 May 2008
- ...nant]]-preserving permutations of the rows of an <math>n \times n</math> [[matrix]]. * [[Permutation]]776 bytes (127 words) - 10:47, 4 March 2022
- Show that there exists a permutation <math>y_{1}</math>, <math>y_{2}</math>,...,<math>y_{n}</math> of <math>x_{1 ...set <math>S={1,2,...,2n-1}</math> is called a <math>\textit{silver}</math> matrix if, for each <math>i=1,2,...,n</math>, the <math>i</math>th row and the <ma4 KB (600 words) - 20:47, 4 July 2024
- ...lumn is <math>\geq n</math>. Prove that the sum of all the elements of the matrix is <math>\geq n^2 / 2</math>. ...w z \ge n - S</math>. The total sum <math> T</math> of all elements of the matrix is at least the number of zeros in this row multiplicated by <math> n - S</6 KB (1,192 words) - 13:14, 29 January 2021
- For an <math>n\times n</math> matrix <math>a = (a_{ij})</math>, the determinant is defined by where <math>S_n</math> is the set of all [[permutation]]s on the set8 KB (1,345 words) - 23:31, 8 May 2020
- It amounts to filling in a <math>4 \times 4</math> matrix. Columns <math>C_1 - C_4</math> are the random draws each round; rowof each ...> ways to place the <math>1</math>, and <math>2</math> ways to do the same permutation as in Sub-case 3.1.13 KB (1,991 words) - 04:13, 3 November 2024
- ==Solution 2 (Linear Transformation and Permutation)== ...ll a matrix that satisfies all constraints given in the problem a feasible matrix.7 KB (1,121 words) - 09:49, 4 November 2024
- ==Solution 2 (Simple Cyclic Permutation Analysis)== ==Solution 3 (Matrix Analysis and Permutation)==11 KB (1,836 words) - 19:18, 28 December 2024