An Overdetermined Set (a) Solve the following equations by hand and (b) solve them using MATLAB. Discuss the solution for two cases: c = 9 and c = 10. x+y=1 x + 2)’ = 3 x +5y = c • Solution (a) To solve these equations by hand, subtract the first equation from...

The Least Squares Method Suppose we have the following three data points, and we want to find the straight line Y = mx +b that best fits the data in some sense. (a) Find the coefficients m and b by using the least squares criterion. (b) Find the coefficients by using...

Traffic Engineering A traffic engineer wants to know whether measurements of traffic flow entering and leaving a road network are sufficient to predict the traffic flow on each street in the network. For example, consider the network of one-way streets shown in Figure...

Production Planning The following table shows how many hours-reactors A and B need to produce I ton each of the chemical products I, 2, and 3. The two reactors are available for 40 hours and 30 hours per week, respectively. Determine how many tons of each product can...

A singuler Set The following underdetermined equation set was analyzed in Example 6.4-2. There it was shown that an infinite number of solutions exists. Use the pinv and the rref commands to obtain solutions. 2x-4y+5z=-4 -4x – 2} + 3z = 4 2x + 6)’ –...

A Statically Indetenninate Problem Determine the forces in the three equally spaced supports that hold up a light fixture. The. supports are 5 ft apart. The fixture weighs 400 lb, and its mass center is 4 ft from the right end. (a) Solve the problem by hand. (b)...