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 A T (among other notations).

For a given matrix, the transpose of a matrix is obtained by interchanging rows into columns or columns to rows. In this article, we are going to learn the definition of the transpose of a matrix, steps to find the transpose of a matrix, properties and examples with a complete explanation.

2024年12月31日 · Transpose of a matrix is a matrix that is obtained by swapping the rows and columns of the given matrix or vice versa, i.e., for the given matrix the elements in rows are interchanged with the elements in columns. For any given matrix A its transpose is denoted as At, or AT. How to Find the Transpose of a Matrix?

Place your cursor on the cell where you want to transform. Type below formula. =TOCOL (A1:C3) That's all. 8 years later, with this new function, this is the correct answer. TOCOL () AND TOROW () are great functions, but they only work in Office 365. See stackoverflow.com/questions/20800820/… as mentioned in the comment off the original post.

B = A.' returns the nonconjugate transpose of A, that is, interchanges the row and column index for each element. If A contains complex elements, then A.' does not affect the sign of the imaginary parts. For example, if A (3,2) is 1+2i and B = A.', then the element B …

2025年1月22日 · If you have a matrix A, the transpose of matrix A is denoted as AT. Example: For a matrix A its transpose AT is given as :

For a matrix A, we denote the transpose of A by AT. Before formally defining the transpose, we explore this operation on the following matrix. What happened? The first column became the first row and the second column became the second row. Thus the 3 …

Transpose is a matrix formed by swapping the rows into columns and vice-versa. Sounds interesting right? Let’s learn about it in further more detail. The new matrix obtained by interchanging the rows and columns of the original matrix is called as the transpose of the matrix.

The transpose of A A is the matrix AT A T derived by making the first row of A A the first column of AT, A T, the second row of A A the second column of AT, A T, etc. In other words, when taking a transpose, the rows and columns are interchanged. Another way of saying this is that the subscripts have been interchanged, that is, if AT = B= [bi,j].