More Problems

• Write a program to find the inverse of a symmetric positive definite matrix using the Cholesky factorization.
• Write a program to compute the norm of a matrix using the induced norm.
• Write a program to compute the matrix exponential using the Padé approximation method.
• Write a program to compute the matrix logarithm using diagonalization.
• Write a program to compute the determinant of a matrix using the Bareiss algorithm.
• Write a program to find the matrix inverse using the LU decomposition and backward substitution.
• 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.