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This chapter introduces array operations and linear equations in MATLAB, explaining the distinction between matrix and array arithmetic. It offers guidance on solving systems of linear equations using MATLAB, including the matrix inverse and the backslash operator for computational efficiency. Additionally, various matrix functions available in MATLAB are highlighted for effective manipulation of matrices and vectors.
References
ch3.pdfClass Notes
Memorization
What we have learnt
Final Test
Revision Tests
Term: Matrix Arithmetic Operations
Definition: Operations like addition, subtraction, multiplication, and exponentiation that are applied to matrices under specific rules.
Term: Array Arithmetic Operations
Definition: Element-by-element operations on arrays, denoted with a period before the operator, such as element-wise multiplication and division.
Term: Matrix Inverse
Definition: The matrix that, when multiplied by the original matrix, yields the identity matrix, useful for solving linear equations.
Term: Backslash Operator
Definition: A MATLAB operator used to solve systems of linear equations efficiently using Gaussian elimination.
Term: Matrix Functions
Definition: Built-in functions in MATLAB for matrix manipulations, such as finding the determinant, inverse, or eigenvalues.