Question

What is a row matrix ?

Answer 1

Hint: We have to solve this question by stating the definition of row matrix. We will also give examples of row matrices . We will also define the order of the row matrix. We will also mention the various operations of the matrix which can be applied to the row matrix.

Complete answer:
A row matrix is a matrix which has only one row in the matrix . All the elements in a row matrix are arranged in a single row . Such that the matrix has only one and has a number of columns . Hence it is called a row matrix .
The order of a matrix is written in the form of $$n\times m$$. For a row matrix the value of $$n=1$$. Thus the order of the row matrix is written in the form$$1\times m$$.
Examples of row matrix are :-
$$\left(i\right)$$ $$A=\left(1\right)$$
$A$ is a row matrix of the order $$1\times 1$$ . The matrix has only one element $1$.

$$\left(ii\right)$$ $A=[\begin{array}{cc}1& 2\end{array}]$
$A$ is a row matrix of the order $$1\times 2$$ . The matrix has two elements in a row but in two columns
$$\left(iii\right)$$ $$A=\text{ [}\begin{array}{ccc}1& 2& 3\end{array}]$$
$A$ is a row matrix of the order $$1\times 3$$ . The matrix has two elements in a row but in three columns
For general the terms of the row matrix are given as $$A_{(1\times j)}$$ where $j$ is the number of columns in the matrix .
If the order of the row matrix is $$1\times 5$$ then the elements in the row matrix are at positions $$A_{(11)},A_{(12)},A_{(13)},A_{(14)},A_{(15)}$$

Note: In all the above examples , the elements are arranged in only one row but have different numbers of columns . Similarly , the arrangements of all the elements in the matrix are in the form of a rectangle . Hence , a row matrix is also called a rectangular matrix . Two row matrices having the same order can be added or subtracted using the operations of matrix such that in the sum of two row matrices each element of a row is added to the element of the other matrix in the same position.