Matrix theory, also known as matrix analysis, is a branch of mathematics that studies matrices and their properties. It has wide applications in various fields such as physics, engineering, computer science, and economics.
Basic Concepts
- Matrix: A rectangular array of numbers or symbols.
- Determinant: A scalar value that can be computed from the elements of a square matrix and encodes certain properties of the matrix.
- Eigenvalues and Eigenvectors: Eigenvalues are scalar values associated with a linear transformation. Eigenvectors are vectors that are in the direction of stretch or compression when acted upon by the transformation.
Applications
Matrix theory has numerous applications, including:
- Solving systems of linear equations
- Linear transformations
- Image processing
- Control theory
- Quantum mechanics
Further Reading
For more in-depth understanding of matrix theory, you can visit our Matrix Theory Tutorial.
Matrix