3. Array operations and Linear equations
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.
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Sections
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What we have learnt
- MATLAB supports two types of arithmetic operations: matrix and array operations.
- Array operations are performed element-by-element and are distinguished by a period (.) before the operator.
- Systems of simultaneous linear equations can be solved using either the matrix inverse or the backslash operator in MATLAB.
Key Concepts
- -- Matrix Arithmetic Operations
- Operations like addition, subtraction, multiplication, and exponentiation that are applied to matrices under specific rules.
- -- Array Arithmetic Operations
- Element-by-element operations on arrays, denoted with a period before the operator, such as element-wise multiplication and division.
- -- Matrix Inverse
- The matrix that, when multiplied by the original matrix, yields the identity matrix, useful for solving linear equations.
- -- Backslash Operator
- A MATLAB operator used to solve systems of linear equations efficiently using Gaussian elimination.
- -- Matrix Functions
- Built-in functions in MATLAB for matrix manipulations, such as finding the determinant, inverse, or eigenvalues.
Additional Learning Materials
Supplementary resources to enhance your learning experience.