Need help on matrices?
What are matrices?
These lessons on matrices include: what are matrices, operations on matrices, determinants and
inverses of matrices, using matrices to solve systems of equations, Gauss-Jordan Method,
Row Reducing Method, Matrix Row Transformation, Cramer’s Rule and using determinants to find the area of shapes.
What is a Matrix?
A matrix is simply a rectangular arrangement of numbers (or other mathematical objects like symbols or expressions) organized into rows and columns. Think of it like a table of numbers.
Rows: The horizontal lines of numbers. Columns: The vertical lines of numbers.
Why are Matrices Important?
Matrices (singular: matrix, plural: matrices) have many uses in real life. They are used in many areas of math, science, and computer science, including:
Solving systems of equations: Matrices provide a compact way to represent and solve multiple equations at once. Computer graphics: Matrices are used to transform objects in 3D space (rotation, scaling, translation). Physics: Matrices are used to represent physical quantities and transformations. Data analysis and machine learning: Matrices are used to store and manipulate large datasets.
One application would be to use matrices to represent a large amount of data in a concise manner so that we can process the data in various ways more conveniently. For example, the sales of different types of pre-packed food from 3 stalls during a given period of time could be shown in the form of a table here:
Stall A | Stall B | Stall C | |
Packs of noodles sold | 36 | 21 | 43 |
Packs of rice sold | 27 | 56 | 35 |
This table can be represented as a matrix:
This matrix could then be added with another that represents the sales for a different period of time to get the total for the two periods of time, etc.
(include introductory as well as more advanced materials.)
Matrices Calculator with step-by-step solutions
Introduction to Matrices, Complex Numbers,
Matrices, Systems of Linear Equations,
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