Linear Algebra

Introduction to Quantum Computing

Linear Algebra is the branch of mathematics concerning linear equations, linear maps, and their representations in vector spaces and through matrices.  

  • linear equation: an equation in the form:
    • a1x1 + ... + anxn + b = 0
      • where x1 ... xn are the variables (or unknowns)
      • b, a1 ... an are the coefficients


Linear Algebra Tutorial:  The topics covered in this tutorial include:

  • Vectors and Vector Spaces
  • Matrices and Matrix Operations
  • Spanning Sets, Linear Dependence, and Bases
  • Hilbert Spaces, Orthonormality, and the Inner Product
  • Outer Products and Tensor Products
  • Eigenvectors and Eigenvalues
  • Matrix Exponentials