More Problems

• 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.
• Write a program to find the diagonal elements of a matrix using LU decomposition.
• Write a program to calculate the matrix determinant using the Binet-Cauchy theorem.
• Write a program to implement the forward substitution algorithm for solving lower triangular systems.
• Write a program to calculate the rank of a matrix using its singular values.