Matrix Algebra for Engineers

matrix algebra notes for engineering with examples.

WIP

table of content:

• Matrix introduction
  • Matrix definitions
  • Transpose Matrices
  • Inner and Outer Products
  • Inverse Matrices
  • Ortogonal Matrices
• 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