More Problems

• Write a program to compute the matrix determinant using the Crout decomposition.
• Write a program to check if a matrix is a doubly stochastic matrix.
• Write a program to solve the matrix equation AX = B using the Moore-Penrose pseudoinverse.
• Write a program to compute the eigenvalues of a matrix using the QR algorithm.
• Write a program to check if a matrix is a positive operator (its eigenvalues are positive).
• Write a program to compute the matrix norm using the operator norm.
• Write a program to check if a matrix is a left stochastic matrix.
• Write a program to compute the orthogonal complement of a matrix.