About: Transpose of a matrix   Sponge Permalink

An Entity of Type : owl:Thing, within Data Space : 134.155.108.49:8890 associated with source dataset(s)

The transpose of a matrix is a matrix created by reflecting a matrix over its main diagonal, or making the columns rows of the transpose (or vice versa). For example: This can be extended to complex matrices as the conjugate transpose, denoted as H. For example: A matrix equal to the negation of its transpose (i.e. ) is called a skew-symmetric matrix. The most common application of finding the transpose of a matrix is in the process of a finding an inverse of a matrix.

AttributesValues
rdfs:label
  • Transpose of a matrix
rdfs:comment
  • The transpose of a matrix is a matrix created by reflecting a matrix over its main diagonal, or making the columns rows of the transpose (or vice versa). For example: This can be extended to complex matrices as the conjugate transpose, denoted as H. For example: A matrix equal to the negation of its transpose (i.e. ) is called a skew-symmetric matrix. The most common application of finding the transpose of a matrix is in the process of a finding an inverse of a matrix.
dcterms:subject
dbkwik:math/proper...iPageUsesTemplate
abstract
  • The transpose of a matrix is a matrix created by reflecting a matrix over its main diagonal, or making the columns rows of the transpose (or vice versa). For example: This can be extended to complex matrices as the conjugate transpose, denoted as H. For example: Notice that for a real matrix, the main diagonal (the diagonal starting the element in the first row and column) remains unchanged. Because of this, the transpose of a real diagonal matrix will simply be the original matrix. More generally, any matrix equal to its own transpose is called a symmetric matrix (or a Hermitian matrix if it is equal to its conjugate transpose). A matrix equal to the negation of its transpose (i.e. ) is called a skew-symmetric matrix. The most common application of finding the transpose of a matrix is in the process of a finding an inverse of a matrix. File:Linear subspaces with shading.svg This linear algebra-related article contains minimal information concerning its topic. You can help the Mathematics Wikia by adding to it.
Alternative Linked Data Views: ODE     Raw Data in: CXML | CSV | RDF ( N-Triples N3/Turtle JSON XML ) | OData ( Atom JSON ) | Microdata ( JSON HTML) | JSON-LD    About   
This material is Open Knowledge   W3C Semantic Web Technology [RDF Data] Valid XHTML + RDFa
OpenLink Virtuoso version 07.20.3217, on Linux (x86_64-pc-linux-gnu), Standard Edition
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2012 OpenLink Software