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Topic: Matrix Manipulation Problem / Level: intermediate
Problem:
Write a program to find the matrix inverse using the LU decomposition and backward substitution.
More Problems
Write a program to check if a matrix is a Perron matrix (nonnegative matrix with a unique largest eigenvalue).
Write a program to compute the matrix rank using the row echelon form.
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.
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