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