In this chapter, we will present the following recipes:

• Matrix operations and functions on two-dimensional arrays
• Solving linear systems using matrices
• Calculating the null space of a matrix
• Calculating the LU decompositions of a matrix
• Calculating the QR decomposition of a matrix
• Calculating the eigenvalue and eigenvector of a matrix
• Diagonalizing a matrix
• Calculating the Jordan form of a matrix
• Calculating the singular value decomposition of a matrix
• Creating a sparse matrix
• Computations on top of a sparse matrix