transpose matrix
Sign in to saveAlso known as matrix transpose, transpose of a matrix, transpose
thumb|200px|right|class=skin-invert-image|The transpose AT of a matrix A can be obtained by reflecting the elements along its main diagonal. Repeating the process on the transposed matrix returns the elements to their original position.
~11 min read
Article
15 sectionsContents
- Transpose of a matrix
- Definition
- Matrix definitions involving transposition
- Examples
- Properties
- Products
- Implementation of matrix transposition on computers
- Transposes of linear maps and bilinear forms
- Transpose of a linear map
- Transpose of a bilinear form
- Adjoint
- See also
- References
- Further reading
- External links
thumb|200px|right|class=skin-invert-image|The transpose AT of a matrix A can be obtained by reflecting the elements along its main diagonal. Repeating the process on the transposed matrix returns the elements to their original position.
In linear algebra, transposition is an operation that flips a matrix over its diagonal; that is, transposition switches the row and column indices of the matrix to produce another matrix, called the transpose of and often denoted (among other notations).