ROW MATRIX

Row Matrix

Definition Of Row Matrix

Row Matrix is a matrix with only one row.

More About Row Matrix

Sum of two row matrices of same dimension is also a row matrix of the same dimension.
The dimension of a row matrix is given as 1 × n where n is the number of columns.

Video Examples: Row Matrix

Example of Row Matrix

is a row matrix as it has only one row.

Solved Example on Row Matrix

Ques: Which of the following is a row matrix?

Choices:

Correct Answer: A

Solution:

Step 1: If a matrix is having only one row, then that matrix is called to be a row matrix
Step 2: Here, only the matrix [ 2 0 4 5 6 9 ] has a single row with the dimensions 1 × 6.

Quick Summary

A row matrix has dimensions 1 × n, where n is the number of columns.
The sum of two row matrices of the same dimension is also a row matrix of the same dimension.

\[ A = [a_{11}, a_{12}, ..., a_{1n}] \]

🍎 Teacher Insights

Emphasize the visual representation of a row matrix to help students differentiate it from other types of matrices. Use real-world examples to illustrate the concept.

🎓 Prerequisites

Matrix Basics
Dimensions of a Matrix

Check Your Knowledge

Q1: Which of the following is a row matrix?

[1 2 3] [1; 2; 3] [[1, 2]; [3, 4]] [1]

Q2: What are the dimensions of the matrix [4 5 6 7]?

1 x 4 4 x 1 2 x 2 1 x 1

Frequently Asked Questions

Q: What is the dimension of a row matrix?
A: The dimension of a row matrix is 1 × n, where n is the number of columns.

Q: Is the sum of two row matrices always a row matrix?
A: Yes, if the row matrices have the same dimensions, their sum will also be a row matrix with the same dimensions.