IT Workshop (Sci Lab/MATLAB) | 3. Array operations and Linear equations by Abraham | Learn Smarter
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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.

Sections

  • 3

    Array Operations And Linear Equations

    This section covers the fundamentals of matrix and array operations in MATLAB, followed by methods for solving systems of linear equations.

  • 3.1

    Array Operations

    This section introduces array arithmetic operations in MATLAB, highlighting their key differences from matrix arithmetic operations.

  • 3.1.1

    Matrix Arithmetic Operations

    This section covers the fundamental concepts of matrix arithmetic operations in MATLAB, including addition, subtraction, multiplication, and exponentiation of matrices.

  • 3.1.2

    Array Arithmetic Operations

    The section introduces array arithmetic operations in MATLAB, differentiating them from matrix operations and detailing the element-wise operations available.

  • 3.2

    Solving Linear Equations

    This section covers the methods for solving systems of simultaneous linear equations using matrix notation and MATLAB, including techniques involving matrix inversion and the backslash operator.

  • 3.2.1

    Matrix Inverse

    This section explains the concept and computation of the matrix inverse, particularly in the context of solving systems of linear equations using MATLAB.

  • 3.2.2

    Matrix Functions

    This section introduces various matrix functions in MATLAB that facilitate matrix and vector manipulation, enhancing computational efficiency.

  • 3.3

    Exercises

    This section discusses exercises that reinforce the understanding of array operations and solving linear equations in MATLAB.

References

ch3.pdf

Class Notes

Memorization

What we have learnt

  • MATLAB supports two types o...
  • Array operations are perfor...
  • Systems of simultaneous lin...

Final Test

Revision Tests