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Transpose of a column matrix is
By BYJU'S Exam Prep
Updated on: September 25th, 2023
(a) zero matrix
(b) diagonal matrix
(c) column matrix
(d) row matrix
Transpose of a column matrix is row matrix. We can write it as AT = [aij]n x m. The matrix obtained by interchanging the rows and columns is called the transpose matrix.
Table of content
Transpose of a Column Matrix
If A = [aij]m x n, then interchange the rows and columns to obtain the matrix of A is called the transpose of A, denoted by A′ or (AT). AT = [aij]n x m
- A = 1
2
3
- AT = 1 T = [1 2 3]
2
3
As a result, a row matrix can be transformed into a column matrix, and a column matrix can be transformed into a row matrix.
Summary:
Transpose of a column matrix is (a) zero matrix (b) diagonal matrix (c) column matrix (d) row matrix
Row matrix is the transpose of a column matrix which is denoted as AT = [aij]n x m. Transpose of the matrix A is represented as A′ or (AT). It can be also written as, if A = [aij]m×n, then AT = [aji]n×m.
