A matrix consisting of only one row and N columns is called a row vector.
The transpose of an M x N matrix A, denoted by A' (read as A prime or A transpose) is an N x M matrix obtained by interchanging the rows and columns of A; that is, the ith row of A becomes the ith column of A'. For example,
Since a vector is a special type of matrix, the transpose of a row vector is a column vector and the transpose of a column vector is a row vector. Thus x
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