More Problems

• Write a program to solve the matrix equation AX = B using QR decomposition.
• Write a program to check if a matrix is doubly stochastic (both rows and columns sum to 1).
• Write a program to compute the matrix exponential using diagonalization.
• Write a program to implement the block LU decomposition method for a matrix.
• Write a program to find the inverse of a 3x3 matrix using the adjoint method.
• Write a program to check if a matrix is positive semi-definite.
• Write a program to compute the determinant of a symmetric matrix using the LU decomposition.
• Write a program to perform the Gram-Schmidt process for a set of linearly independent vectors.