MATH 152 Study Guide - Midterm Guide: Current Source, 3I, Linear Independence
Document Summary
Show all your work, little or no credit will be given for a numerical answer without the correct accompanying work. If you need more space than the space provided, use the back of the previous page. Rules governing examinations: each candidate must be prepared to produce, upon request, a. Part a - short answer questions, 1 mark each. Your answer should be in the form a + bi where a and b are real numbers to be determined. A4: consider a random walk with three states. A walker that begins at state 1 always goes to state 2; always moves to state 3 when beginning in state 2; and is equally likely to be in any state after starting in state 3. Write the probability transition matrix for this random walk. A6: let a be a 2 2 matrix with real entries. Suppose that i (cid:21) (cid:20) 1 is an eigenvector of a with eigenvalue 2 + 3i.
