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Topic: Matrix Manipulation Problem / Level: intermediate
Problem:
Write a program to check if a matrix is a positive operator (its eigenvalues are positive).
More Problems
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.
Write a program to perform Hessenberg decomposition using Householder transformations.
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