Definition:Row Matrix

Definition

A row matrix is a $1 \times n$ matrix:

$\mathbf R = \begin{bmatrix}

r_{1 1} & r_{1 2} & \cdots & r_{1 n} \end{bmatrix}$

That is, it is a matrix with only one row.

Also known as

Some earlier sources can be seen referring to a row matrix as a row vector.

However, it is probably better not to use this terminology, as it can cause confusion between a matrix space and a vector space.

Also see

• Definition:Column Matrix

• Results about row matrices can be found here.

Sources

• 1954: A.C. Aitken: Determinants and Matrices (8th ed.) ... (previous) ... (next): Chapter $\text I$: Definitions and Fundamental Operations of Matrices: $4$. Matrices, Row Vectors, Column Vectors, Scalars
• 1965: Seth Warner: Modern Algebra ... (previous) ... (next): Chapter $\text {V}$: Vector Spaces: $\S 30$. Linear Equations
• 1980: A.J.M. Spencer: Continuum Mechanics ... (previous) ... (next): $2.1$: Matrices
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): matrix (plural matrices)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): matrix (plural matrices)
• 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): row matrix