A matrix whose all elements are arranged in a row is called a Row matrix.

Row matrix is one type of matrix and it is also called as a row vector. In this type of matrix, all elements are arranged in only one row but in different columns.

$M$ is a matrix in general form and it is a row matrix of order $1 \times n$.

$M =

{\begin{bmatrix}

e_{11} & e_{12} & e_{13} & \cdots & e_{1n}\\

\end{bmatrix}}_{\displaystyle 1 \times n}

$

It can also be expressed in simple form.

$M =

{\begin{bmatrix}

e_{\displaystyle ij}

\end{bmatrix}}_{\displaystyle m \times n}

$

In this case of a Row vector , each element is displayed in one row. So, the row $i = 1$. Similarly, the number of rows $m = 1$. Therefore, a row matrix can be displayed in simple but in general form as follows.

$M =

{\begin{bmatrix}

e_{\displaystyle 1j}

\end{bmatrix}}_{\displaystyle 1 \times n}

$

The following matrices are best examples for a row matrix.

$(1)\,\,\,\,$ $A =

\begin{bmatrix}

5

\end{bmatrix}

$

$A$ is a row matrix of order $1 \times 1$. Only one element is arranged in one row and one column in this matrix.

$(2)\,\,\,\,$ $B =

\begin{bmatrix}

-1 & 4

\end{bmatrix}

$

$B$ is a row matrix of order $1 \times 2$. In this matrix, two elements are arranged in one row but in two columns.

$(3)\,\,\,\,$ $C =

\begin{bmatrix}

9 & 4 & 3

\end{bmatrix}

$

$C$ is a row matrix of order $1 \times 3$. Three elements are arranged in one row but in three columns in this matrix.

$(4)\,\,\,\,$ $D =

\begin{bmatrix}

2 & 6 & 7 & 3

\end{bmatrix}

$

$D$ is a row matrix of order $1 \times 4$. In this matrix, four elements are arranged in one row but in four columns.

All the row matrices are single row matrices but they have common shape and it is a rectangle. Hence, the row matrices are known as rectangular matrices.

List of most recently solved mathematics problems.

Jul 04, 2018

Limit (Calculus)

Evaluate $\displaystyle \large \lim_{x \,\to\, \tan^{-1}{3}} \normalsize {\dfrac{\tan^2{x}-2\tan{x}-3}{\tan^2{x}-4\tan{x}+3}}$

Jun 23, 2018

Limit (Calculus)

Evaluate $\displaystyle \large \lim_{x \to 0} \normalsize \dfrac{e^{x^2}-\cos{x}}{x^2}$

Jun 22, 2018

Integral Calculus

Evaluate $\displaystyle \int \dfrac{1+\cos{4x}}{\cot{x}-\tan{x}} dx$

Jun 21, 2018

Limit

Evaluate $\displaystyle \large \lim_{x \to \infty} \normalsize {\sqrt{x^2+x+1}-\sqrt{x^2+1}}$

Math Doubts is a best place to learn mathematics and from basics to advanced scientific level for students, teachers and researchers.
Know more

Learn how to solve easy to difficult mathematics problems of all topics in various methods with step by step process and also maths questions for practising.