Linear algebra with applications Exam Questions and answers

Linear algebra with applications Exam Questions and answers L1: How would you find out max value of 3x+2y in region on camera (where it says feasible set): . Look at vertices of region and your maximum will occur at one of the vertices. . Work out co-ordinates of vertices and sub in coordinates to 3x+2y and work out which coordinates give greatest value, and that's your maximum. . E.g. (0,0) is a vertex but that will give 0, so not maximum. L1: On what occasion does a maximum of a linear equation not occur on a vertex? . When you have an equation like x+y, where maximum will occur on any point on a line on a region as the coefficient of x and y are the same so one variable isn't more important than the other. - e.g on camera max is 10 and occurs any where on line y=-x+10 L2: What is an augmented matrix (show example on camera):