1. Write a Matlab program to implement house and execute it with x (1.4, 5.8, 2.3, 8.1, 9.0) 2. Write a Matlab program to implement rowhouse and execute it with 1.4 4.5 6.5 5.8 3.2 7.3 X-2.3-2.6 8.2 8.15.8 -8.0 9.0 0.3 1.5 and v generated from problem 1 3. Write multilinreg program in Matlab to solve the following regression problem: find least-square estimate b 11 y-Xb112 = arg min where 120] 17 X=14 4 9 61 and y=132 10 12 [5093] 2 8 2 3 4. Let H be ann x n householder matrix given by H = 1,-2T, for any non-zero n-length column vector v (+0). Show that H = HT and HHT-In. In other words, H is a symmetric, orthogonal matrix. 1. Write a Matlab program to implement house and execute it with x (1.4, 5.8, 2.3, 8.1, 9.0) 2. Write a Matlab program to implement rowhouse and execute it with 1.4 4.5 6.5 5.8 3.2 7.3 X-2.3-2.6 8.2 8.15.8 -8.0 9.0 0.3 1.5 and v generated from problem 1 3. Write multilinreg program in Matlab to solve the following regression problem: find least-square estimate b 11 y-Xb112 = arg min where 120] 17 X=14 4 9 61 and y=132 10 12 [5093] 2 8 2 3 4. Let H be ann x n householder matrix given by H = 1,-2T, for any non-zero n-length column vector v (+0). Show that H = HT and HHT-In. In other words, H is a symmetric, orthogonal matrix