What is a matrix and how is it represented in a rectangular array?
Understand the Problem
The question is discussing the concept of matrices, specifically focusing on their representation and the basic operations of addition, subtraction, and multiplication. It sets the context for matrix algebra with examples of how data can be structured in tabular form.
Answer
A matrix is a rectangular array of numbers arranged in rows and columns.
A matrix is a rectangular array of numbers arranged in rows and columns. For example, given the data set in the image, the matrix is formed with rows representing objects and columns representing attributes, yielding a 3x2 matrix.
Answer for screen readers
A matrix is a rectangular array of numbers arranged in rows and columns. For example, given the data set in the image, the matrix is formed with rows representing objects and columns representing attributes, yielding a 3x2 matrix.
More Information
Matrices are fundamental in many fields including physics, engineering, computer science, and economics for solving systems of linear equations, transforming geometric objects, and representing data.
Tips
Common mistakes include misaligning data between rows and columns and misunderstanding the dimensions notation (e.g., number of rows vs. number of columns). Always double-check your data placement and notation.
Sources
- Matrix (mathematics) - Wikipedia - en.wikipedia.org
- Rectangular Matrix - Definition, Properties, Operations, Examples - geeksforgeeks.org
- A rectangular array of numbers - Science Direct - sciencedirect.com
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