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MATLAB Matrix Operations Guide
mathworks.com/help/matlab/math/matrices-in-the-matlab-environment.htmlYapay zekadan makale özeti
- Basic Concepts
- MATLAB matrices contain real or complex numbers arranged in two-dimensional grids
- All MATLAB arrays are rectangular, with components of any dimension of equal length
- Matrix operations are part of linear algebra
- Matrix Creation and Basic Operations
- MATLAB provides functions for creating various types of matrices
- Matrices can be defined manually using square brackets and semicolons
- Addition and subtraction require compatible dimensions between matrices
- Vector Operations
- Row and column vectors can be multiplied to obtain inner or outer products
- Matrix transpose exchanges elements along main diagonal
- Complex matrices can be transposed using apostrophe or dot-apostrophe operators
- Matrix Multiplication and Special Matrices
- Matrix multiplication requires equal row and column dimensions
- Identity matrices are denoted by capital letter I
- Matrix inverse exists for square, nonsingular matrices
- Kronecker product combines elements of two matrices
- Performance Considerations
- Matrix operations show significant speedup on large double-precision arrays
- Multithreaded computation requires partitioning operations and large data size
- Matrix operations are generally faster than simple ones