In linear algebra
, a row vector
or row matrix
is a 1 × n matrix
, that is, a matrix consisting of a single row:
The transpose of a row vector is a column vector:
The set of all row vectors forms a vector space which is the dual space to the set of all column vectors.
Row vectors are sometimes written using the following non-standard notation:
- Matrix multiplication involves the action of multiplying each row vector of one matrix by each column vector of another matrix.
- The dot product of two vectors a and b is equivalent to multiplying the row vector representation of a by the column vector representation of b:
a_1 & a_2 & a_3
b_1 b_2 b_3