linear_algebra
Mathematical Programming with Python
https://people.sc.fsu.edu/~jburkardt/classes/...
python_2025/linear_algebra/linear_algebra.html

linear_algebra: working with vectors and matrices, the np.linalg() and scipy libraries.

Lecture notes:

• linear_algebra.pdf

• about_a_matrix.py, things you could want to ask about a matrix, including shape, size, determinant, inverse, transpose, row and column sums, norm.
• dif2.py, the -1, 2, -1 second difference matrix for a 1D problem.
• factors.py, computing and using LU, QR, SVD, and eigenvalue factors of a matrix.
• lapack_plu.py, demonstrates np.tril() and np.triu() by decompressing a LAPACK PLU factorization.
• operations.py, compute y=A*x, solve a linear system, use power method to find dominant eigenvalue, use random multiplication to estimate matrix norm.
• qr_demo.py, uses QR factors to determine the similarity of 5 vectors in 3 dimensions.
• vectors.py, row and column vectors, vector norms, dot product, projection of one vector onto another.