Solve each problem using matrices.

The relationship between a professional basketball player’s height H (in inches) and weight W (in pounds) was modeled using two different samples of players. The resulting equations that modeled the two samples were 

W = 7.46H - 374 and W = 7.93H - 405.

(a) Use each equation to predict the weight of a 6 ft 11 in. professional basketball player to the nearest pound.

(b) According to each model, what change in weight, to the nearest hundredth pound, is associated with a 1-in. increase in height?

(c) Determine the weight and height, to the nearest unit, where the two models agree.