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Transpose
The transpose of one
matrix
is another matrix that is obtained by using
by using rows from the first matrix as columns in the second matrix.
For example, it is easy to see that the transpose of matrix A is
A'. Row 1 of matrix A becomes column 1 of
A'; row 2 of A becomes column 2 of
A',; and row 3 of A becomes column 3 of
A'.
Note that the
order
of a matrix is reversed after it has been transposed. Matrix
A is a 2 x 3 matrix, but matrix A'
is a 3 x 2 matrix.
With respect to notation, this web site uses a prime to indicate a
transpose. Thus, the transpose of matrix B would be
written as B'.