In mathematics, a row matrix is a type of matrix that has a single row. But the number of columns could be more than one. Therefore, if the matrix is in the order of 1 x n, then it is a row matrix. The elements are arranged in an order such that they represent a single row in the matrix. On the other hand, unlike the row matrix, a column matrix will have a single column. Learn to determine the order of matrices at BYJU’S.
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[bij]1 x n is a Row matrix |
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A row matrix is not a square matrix, therefore, we cannot find the determinant of such a matrix. Only if the number of rows and columns are equal to 1, means the order of the row matrix 1 x 1, then we can calculate the determinant. Let us learn more about row matrices with examples at BYJU’S.
Types of Matrices
There are majorly seven different types of matrices. They are:
- Row matrix
- Column matrix
- Square matrix
- Diagonal matrix
- Scalar matrix
- Identity matrix
- Zero matrix
Definition of Row Matrix
A matrix of an order m x n, where m is the number of rows and n is the number of columns, is a row matrix, if and only if, m = 1. Hence, a matrix of the order of 1 x n is a row matrix. The horizontal lines of elements form a row matrix.
A Row matrix is a rectangular array of elements, ordered in a horizontal line. A row matrix can be expressed in mathematical form as:
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\(\begin{array}{l}Row ~Matrix, A=\left[\begin{array}{lllll} b_{11} & b_{12} & b_{13} & \cdots & b_{1 n} \end{array}\right]_{1 \times n}\end{array} \)
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Or in general;
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Row matrix = [bij]1xn |
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Let us see some examples of Row matrices.
Matrix Related Articles
- Adjacency Matrix
- Determinant of a Matrix
- Matrices For Class 12
- Matrix Addition and Subtraction
- Matrix Multiplication
- Orthogonal Matrix
- Singular Matrix
- Symmetric Matrix & Skew Symmetric Matrix
- Upper Triangular Matrix
Examples of Row matrix
Example 1: A Row matrix of the order 1 x 1, is:
A = [91×1]
Since, there is only one element in the matrix that is ordered in one row and one column, therefore the determinant of the matrix A is:
Determinant = 9
Example 2: A Row matrix of the order 1 x 2, is:
There are two elements arranged in a single row and two columns in the matrix, hence it is an example of a row matrix.
Example 3: A Row matrix of the order 1 x 3, is:
In the above example, there are three elements in the matrix arranged in a single row and three columns.
Example 4: A Row matrix of the order 1 x 4, is:
The elements in the above example are arranged horizontally, in a single row and four columns.
Example 5: An Row matrix of the order 1 x 5, is:
In this example of a row matrix, the elements are arranged in 5 columns and a single row.
Thus, we can see, in the above examples, the elements are arranged in a single row but multiple columns, therefore, all these are Row matrices.
Practice Questions
\(\begin{array}{l}A=\left[\begin{array}{lllll} 9 & 0 & 7 & 1 & 21 \end{array}\right]\end{array} \)
\(\begin{array}{l}A=\left[\begin{array}{lllll} 1 & -3 & 5 \end{array}\right]\end{array} \)
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Frequently Asked Questions on Row Matrix
What is a Row matrix?
A matrix is called a Row matrix, if it has only one row but possibly multiple columns. It is represented by A1 x n, where n is the number of columns.
What is a row in a matrix?
When the elements are arranged in a matrix horizontally, it forms the rows of the matrix. In general , matrix is an arrangement of elements in rows and columns such that [aij]mxn is a matrix where i and j are positions of the elements, m and n are the number of rows and columns, respectively.
What is the order of the Row matrix?
The order of the Row matrix is 1 x n, where m is the number of columns.
What does a row matrix look like?
A row matrix has elements arranged in a single row, thus it looks like a horizontal line.
How does a Row matrix differ from a column matrix?
A Row matrix has a single row whereas a column matrix has a single column.
What is a 2 x 3 matrix?
A 2 x 3 matrix is a matrix where elements are arranged in two rows and three columns.
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