DO NOT HAND WRITE THIS!!!!

DO NOT HAND WRITE THIS!!!!

Use matlab or C++

3.2. A common problem in surveying is to deter- mine the altitudes of a series of points with respect to some reference point. The measurements are subject to error, so more observations are taken than are strictly necessary to determine the alti- tudes, and the resulting overdetermined system is solved in the least squares sense to smooth out errors. Suppose that there are four points whose altitudes x1, x2, 23, x4 are to be determined. In addition to direct measurements of each xi with respect to the reference point, measurements are also taken of each point with respect to all of the others. The resulting measurements are 2 1.74 4 1.32, = 2.95 23-1.45 1 4 1.61 T2 4 0.45 T2-T3 3.21 t3-T4 -2.75 Set up the corresponding least squares system Ax b and use a library routine, or one of your own design, to solve it for the best values of the altitudes. How do your computed values compare with the direct measurements? 3.2. A common problem in surveying is to deter- mine the altitudes of a series of points with respect to some reference point. The measurements are subject to error, so more observations are taken than are strictly necessary to determine the alti- tudes, and the resulting overdetermined system is solved in the least squares sense to smooth out errors. Suppose that there are four points whose altitudes x1, x2, 23, x4 are to be determined. In addition to direct measurements of each xi with respect to the reference point, measurements are also taken of each point with respect to all of the others. The resulting measurements are 2 1.74 4 1.32, = 2.95 23-1.45 1 4 1.61 T2 4 0.45 T2-T3 3.21 t3-T4 -2.75 Set up the corresponding least squares system Ax b and use a library routine, or one of your own design, to solve it for the best values of the altitudes. How do your computed values compare with the direct measurements