2 Exam Guide
Mathematics 105Q
March 2007
The examination will cover the topics dealt with in Sections 2.1-2.6 and 3.1-3.2 in our textbook. So students will need to be prepared on the use of row operations to solve systems of linear equations systematically (Gaussian elimination), systems with no solutions, expressing all solutions when there is an infinite family of solutions, arithmetic of matrices especially matrix multiplication, what it means for a matrix to have an inverse, the formula for the inverse of a two by two matrix, the Gauss-Jordan method for inverting square matrices of any size, forming an input-output matrix for an economic system, the formula for the production column matrix to satisfy a given outside demand, formulating a linear optimization problem (in terms of inequalities and an objective functions) from verbal a presentation, and applying the fundamental theorem of linear programming geometrically (find the feasible set and its vertices, evaluate the objective function at the corners, and draw the conclusion). The exam will be slightly longer than Exam 1 was, although there will be few long calculations. Format: 30% multiple choice problems, and five show the work problems. Bring calculators but don't keep formulas in memory; shut off cell phones so that nobody can communicate with anyone else dur...