Important Points on Order of Matrix
Following are some important points on the order of a matrix:
- The first number in the order of a matrix will always represent the number of rows in the matrix, while the second number represents the number of columns in the matrix.
- The addition or subtraction of any two matrices is possible if the order of the two matrices is the same.
- Multiplication of any two matrices is possible only when the number of columns in the first matrix is equal to the number of rows in the second matrix.
- If the order of a matrix is “m × n,” then the order of its transpose matrix will be “n × m,” where a transpose matrix is formed by changing the rows of a matrix into columns and its columns into rows.
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Order of Matrix
Order of the matrix defines the number of rows and columns that a matrix has. In a matrix, data is arranged as an array of elements. This data is arranged in rows and columns, and the number of rows and columns any matrix has defines the Order of the matrix. Suppose any matrix has 5 rows and 3 columns then the order of the matrix is 5×3.
In this article, we will learn about the order of matrices in detail.
Table of Content
- What is Order of Matrix?
- How to Determine the Order of Matrix?
- Type of Matrices Based on Order of Matrix
- Important Points on Order of Matrix
- Solved Examples
- FAQs