Transpose - Wikipedia
网页In linear algebra, the transpose of a matrix is an operator which flips a matrix over its diagonal; that is, it switches the row and column indices of the matrix A by producing another matrix, often denoted by AT (among other notations). [1] The transpose of a matrix was introduced in 1858 by the British mathematician Arthur Cayley. [2] .
3.1: The Matrix Transpose - Mathematics LibreTexts
网页2022年9月17日 · Find the transpose of the following matrices. A = [7 2 9 1 2 − 1 3 0 − 5 3 0 11] B = [1 10 − 2 3 − 5 7 4 2 − 3] C = [1 − 1 7 8 3] Solution. We find each transpose using the definition without explanation. Make note of the dimensions of the original matrix and the dimensions of its transpose.
Transpose Definition & Meaning - Merriam-Webster
网页1. : to change the relative place or normal order of : alter the sequence of. transpose letters to change the spelling. 2. : to change in form or nature : transform. 3. : to render into another language, style, or manner of expression : translate. 4. : to transfer from one place or period to another : shift.
How to Transpose a Matrix: 11 Steps (with Pictures) - wikiHow
网页2023年12月5日 · Matrix transposes are a neat tool for understanding the structure of matrices. Features you might already know about matrices, such as squareness and symmetry, affect the transposition results in obvious ways.
Transpose of a Matrix (Definition, Properties & Examples)
网页In Linear algebra, the transpose of a matrix is one of the most commonly used methods in matrix transformation. For a given matrix, the transpose of a matrix is obtained by interchanging rows into columns or columns to rows.
2.5: The Transpose - Mathematics LibreTexts
网页2022年9月17日 · The definition of the transpose is as follows. Definition 2.5.1: The Transpose of a Matrix. Let A be an m × n matrix. Then AT, the transpose of A, denotes …
Khan Academy
网页Watch this video to learn how to find the transpose of a matrix product and why it is useful. Khan Academy offers free, world-class education for anyone, anywhere.
Transpose of Matrix - Meaning, Properties, Examples
网页In linear algebra, the transpose of a matrix is actually an operator that flips a matrix over its diagonal by switching the row and column indices of matrix B and producing another matrix. Transpose of a matrix B is often denoted by either B' or BT. Sometimes, they are also denoted as Btr or Bt.
Transpose (matrix) Definition (Illustrated Mathematics Dictionary)
网页Transpose (matrix) "Flipping" a matrix over its diagonal. The rows and columns get swapped. Example: the value in the 1st row and 3rd column ends up in the 3rd row and 1st column. The values on the main diagonal stay the same. The transpose of a transpose gets us back to where we started.
The transpose of a matrix - Math Insight
网页The transpose of a matrix is simply a flipped version of the original matrix. We can transpose a matrix by switching its rows with its columns. We denote the transpose of matrix A A by AT A T. For example, if. A = [1 4 2 5 3 6] A = [1 2 3 4 5 6] then the transpose of A A is. AT = ⎡⎣⎢1 2 3 4 5 6⎤⎦⎥. A T = [1 4 2 5 3 6].