Multiplication of Rectangular Matrices
The multiplication of any two rectangular matrices is possible if and only if the number of columns in the first matrix and the number of rows in the second matrix are equal. For example, if A and B are two rectangular matrices, the multiplication of the matrices is possible if the orders of the matrices are “m × n” and “n × p” respectively. Then the order of the resultant matrix will be “m × p.” The product of two rectangular matrices may or may not be rectangular.
For example, [Tex]\left[\begin{array}{cc} 3 & 4\end{array}\right]_{1\times2} \times\left[\begin{array}{c} -1\\ 5 \end{array}\right]_{2\times1} [/Tex] is possible as number of columns in the first matrix and the number of rows in the second matrix is equal.
Rectangular Matrix
A rectangular matrix is a matrix that is rectangular in shape. We know that the elements of a matrix are arranged in rows and columns. If the number of rows in a matrix is not equal to the number of columns in it then the matrix is known as a rectangular matrix.
Let us learn more about the rectangular matrix along with definitions, examples, properties, and operations on it.
Table of Content
- What is a Rectangular Matrix?
- Types of Rectangular Matrices
- Addition and Subtraction of Rectangular Matrices
- Multiplication of Rectangular Matrices
- Transpose of a Rectangular Matrix
- Properties of a Rectangular Matrix