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- Maths and statistics
- Vectors and matrices
- Matrices
The addition and subtraction of matrices is important across many applications, from computer graphics and image processing to statistics. Use this resource to learn the rules for adding and subtracting matrices. Addition of matrices There is one key rule for adding matrices. Matrices of the same shape (same number of...
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- Maths and statistics
- Vectors and matrices
- Matrices
Matrices can be used to solve systems of equations using elementary row operations and the augmented matrix. This method of solving systems of equations is handy when you have many variables and equations. You may see it being used in fields like economics, statistics and machine learning. Systems of equations...
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- Maths and statistics
- Vectors and matrices
- Matrices
A determinant is a number that can be calculated for any square matrix. The determinant is used in calculating vector cross products, eigenvalues, eigenvectors and solving simultaneous equations. Use this resource to learn how to find the determinant of \(2\times2\) and \(3\times3\) matrices. Determinant of a \(2\times2\) matrix The determinant...
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- Maths and statistics
- Vectors and matrices
- Matrices
Eigenvalues and eigenvectors are important parts of an engineer’s mathematical toolbox. They give us an understanding of how buildings, structures, automobiles and materials behave in real life. But that's not all they are used for; you can see their use in many other areas of STEM, including colour theory, electric...
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- Maths and statistics
- Vectors and matrices
- Matrices
Use this resource to learn about matrices, their order, and the different types of matrices. A sound understanding of matrices is essential for a wide range of real-world applications, like machine learning, natural language processing, robotics, image processing, urban planning and infrastructure development. Matrices Matrices are arrays of numbers or...
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- Maths and statistics
- Vectors and matrices
- Matrices
In matrix algebra, we can add, subtract and multiply matrices as long as the matrix order is correct. Unlike traditional arithmetic, we cannot divide matrices. Instead, we multiply by the inverse matrix. Inverse matrices have many applications, including computer animation, encryption and digital image transformations. Inverse matrices An inverse matrix...
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- Maths and statistics
- Vectors and matrices
- Matrices
Being able to find the inverse of a \(3\times3\) matrix will help to simplify complex problems and enhances your ability to perform matrix operations efficiently. This is crucial in fields like engineering, physics and computer science. Before you read further, make sure that you are familiar with augmented matrices and...
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- Maths and statistics
- Vectors and matrices
Matrices are used in a wide range of fields and applications to represent and manipulate data in a structured way. Begin your journey with these resources. Introduction to matrices Addition and subtraction of matrices Matrix multiplication Determinant of a matrix...
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- Maths and statistics
- Vectors and matrices
- Matrices
A strong understanding of how to multiply matrices is critical in many fields, like computer science, robotics, statistics and economics. Just as there are rules for adding and subtracting matrices, we can multiply matrices with each other when certain requirements are met. Use this resource to learn how to multiply...
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- Maths and statistics
- Vectors and matrices
- Matrices
There are a number of important special matrices to become familiar with if you are studying a STEM discipline. The transpose of a matrix is important for solving problems in structural mechanics, symmetric matrices can be applied to motion, dynamics and force calculations in physics, and orthogonal matrices have many...
