MATH 240 Lecture Notes - Lecture 31: Row Echelon Form, Gaussian Elimination, Qi

• School: Simon Fraser University
• Department: Mathematics
• Course: MATH 240
• Professor: Michael Monagan

Document Summary

We will (aim to) post the solutions at 8:30pm. Test 3 is on wednesday november 7th class. 4. 4 exercises 2, 6, 12, 14, 23, 24, 32(a) For exercise 12 use instead the basis b = {[5, 3], [2, 1]} which has a nice inverse . 4. 6 exercises 2, 5, 6, 15, 16, 25. Suppose you have web pages p1, p2, p3 and p4 with hyperlinks p1 p2, p2 p3, p3 . P1, p3 p4, p1 p4 and p4 p2. Assuming a web-surfer takes the hyperlinks on a web page with equal probability, construct the 4 by 4 markov matrix q. Qq = q for the probability vector q such that q1 + q2 + q3 + q4 = 1. You will need to row reduce the 4 by 4 matrix q i4. If you row reduce q i4 to reduced row echelon form you should get. 5. 1 exercises 1, 6, 10, 18, 21, 24, 27.