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Chapter 6: Problem 65

What is meant by the order of a matrix? Give an example with your explanation.

Short Answer

Expert verified
In linear algebra, the 'order of a matrix' refers to its dimensions i.e., the number of rows and columns it has. It is represented as 'm x n', where 'm' is the number of rows and 'n' is the number of columns. For instance, if a matrix A has 2 rows and 3 columns, its order is '2 x 3'.

Step by step solution

01

Understanding the concept

The term 'Order of a Matrix' in mathematics, particularly in linear algebra, refers to the dimensions of the matrix. It denotes the count of rows and columns a matrix comprises of.
02

Formulation

This concept is expressed in the form 'm x n', where 'm' represents the number of rows and 'n' represents the number of columns in the matrix.
03

Practical Example

Consider a Matrix A that has the elements \[A = \begin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \end{bmatrix}\]. Here, the matrix A has 2 rows and 3 columns. So, the order of the matrix A is represented as '2 x 3'.

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Most popular questions from this chapter

Explain how to find the multiplicative inverse for a \(3 \times 3\) invertible matrix.

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