More Problems

• Write a program to check for linear independence of rows in a matrix.
• Write a program to check for linear independence of columns in a matrix.
• Write a program to implement the random projection method for dimensionality reduction.
• Write a program to compute the spectral clustering of a graph using the eigenvalues of its Laplacian matrix.
• Write a program to calculate the Shannon entropy of a distribution represented by a matrix.
• Write a program to compute the Kullback-Leibler divergence between two distributions represented as matrices.
• Write a program to perform the Fisher linear discriminant analysis using matrices.
• Write a program to implement linear regression using matrix operations.