More Problems

• Write a program to find the orthogonal projection matrix onto a subspace.
• Write a program to solve the matrix equation AX = B for X using LU decomposition.
• Write a program to implement the Fast Fourier Transform (FFT) using matrix multiplication.
• Write a program to find the eigenvalues and eigenvectors of a 3x3 matrix.
• Write a program to solve the least squares problem using QR decomposition.
• Write a program to perform matrix-vector multiplication using the block method.
• Write a program to check if a matrix is unitary (its conjugate transpose is its inverse).
• Write a program to calculate the rank of a matrix using singular value decomposition (SVD).