Row matrix

Definition

A row matrix is a matrix with only one row and multiple columns. It is represented as a $1 \times n$ matrix, where $n$ is the number of columns.

5 Must Know Facts For Your Next Test

1. A row matrix has dimensions $1 \times n$, meaning it has one row and $n$ columns.
2. In matrix operations, the row matrix can be used to perform transformations on other matrices through multiplication.
3. The transpose of a row matrix is a column matrix.
4. Row matrices are often used to represent vectors in linear algebra.
5. When adding two row matrices, they must have the same number of columns.

Review Questions

• What are the dimensions of a row matrix?
• How does the transpose of a row matrix change its structure?
• Can you multiply two row matrices together? Why or why not?

Related terms

Column Matrix: A column matrix has only one column and multiple rows; it is represented as an $m \times 1$ matrix.

Matrix Transpose: The transpose of a matrix is obtained by swapping its rows and columns.

Vector: In linear algebra, a vector can be represented as either a row or column matrix.