3) a
Subject:MathPrice: Bought3
3) a. Let A is a mxn tall matrix and it has linearly independent columns. Define P as follows: P = A(ATA)-1AT. Show that (2P-I) (2P-I) = 1 b. Let A is a wide matrix with size mxn and it has linearly independent rows.. Prove that AA is a nonsingular matrix 4. There is matrix A. Factorize it in to L and U so that A = LU using row pivoting. You must use permutation matrices and Elementary matrices to calculate L and U. Then solve the equation Ax = y using the L and U where y = [1 3 1]] 0 2 7 A = 5 3 8 2
