1. Interpolative Decomposition (6 points) 2. a. Find the matrices Y, B and Z such that A=YBZ: 2 1 2 4 A= 1 3 6 2 2 1 2 4 where B is an invertible submatrix of A with the largest possible determi- nant, and all entries in Y and Z are in absolute value less than 1. b. Find a set of matrices C, M and R such that A = CMR, where M is a mixing matrix. 1. Interpolative Decomposition (6 points) 2. a. Find the matrices Y, B and Z such that A=YBZ: 2 1 2 4 A= 1 3 6 2 2 1 2 4 where B is an invertible submatrix of A with the largest possible determi- nant, and all entries in Y and Z are in absolute value less than 1. b. Find a set of matrices C, M and R such that A = CMR, where M is a mixing matrix