You have a large m x n data matrix M. You decide you want to perform dimension reduction/clustering on your data and have decide to use the singular value decomposition (SVD; also called principal…

You have a large m x n data matrix M. You decide you want to perform dimension reduction/clustering on your data and have decide to use the singular value decomposition (SVD; also called principal components analysis PCA) Refer to the passage above. What represents the SVD of the Matrix standard M given the following information:

U is m x m unitary V is n x n unitary S is m x n diagonal Q is n x n invertible D is n x n diagonal L is m x m lower triangular U is m x m upper triangular