More Problems

• Write a program to implement the QR decomposition of a matrix using Gram-Schmidt orthogonalization.
• Write a program to perform matrix factorization for collaborative filtering with alternating least squares.
• Write a program to compute the matrix exponential using the Padé approximation.
• Write a program to find the eigenvalues and eigenvectors of a matrix using the power iteration method.
• Write a program to check if a matrix is diagonally dominant and compute its spectral radius.
• Write a program to implement the power method for finding the largest eigenvalue of a matrix.
• Write a program to compute the Moore-Penrose pseudoinverse of a matrix.
• Write a program to perform Cholesky decomposition of a symmetric positive definite matrix.