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Matrix Algebra for Engineers

matrix algebra notes for engineering with examples.

WIP

table of content:

  • Matrix introduction
  • System of Linear Equation
    • Gaussian Elimination
    • LU Decomposition
  • Vector Spaces
    • Vector Space
    • Gram Schmidt Process
    • Subspace of a Matrix
    • Orthogonal Projections
  • Eigenvalues and Eigenvectors
    • Determinants
    • Eigenvalue Problem
    • Matrix Diagonalization
  • Mechanical Engineer examples
    • robotic motion
    • robotic kinematics
    • robotic dynamics
  • Electrical engineering examples
    • electrical circuits
    • linear control systems
  • Biology Examples
    • genotype inherintance

References

Matrix Algebra for Engineers - Jeffrey R. Chasnov
Linear Algebra and Linear Operators for Engineering - Davis and Thomson
Introduction to Linear Algebra with Applications - DeFranze and Gagliardi