STUDY GUIDE LINEAR ALGEBRA AND ITS APPLICATIONS THIRD EDITION UPDATE David C. Lay University of Maryland – College Park Copyright © 2006 Pearson Addison-Wesley. All rights reserved. Reproduced by Pearson Addison-Wesley from electronic files supplied by the author. Copyright © 2006 Pearson Education‚ Inc. Publishing as Pearson Addison-Wesley‚ 75 Arlington Street‚ Boston‚ MA 02116. All rights reserved. No part of this publication may be reproduced‚ stored in a retrieval system‚ or transmitted
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_____Algebra2______ Review: Review #1 1) Write the algebraic expression represented by the algebra tiles. 2) What are the factors of this algebraic expression? Review #2 Use the algebra tiles to square the following binomials‚ then combine like terms and write the resulting expression. 1) = 4x 2) = 6x 3) =6y 4) = y=4x Review #3 Form a rectangle with the algebra tiles. What product is represented by the rectangle? Purple‚ what are the factors of this product
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Quadratic equation In elementary algebra‚ a quadratic equation (from the Latin quadratus for "square") is any equation having the form where x represents an unknown‚ and a‚ b‚ and c represent known numbers such that a is not equal to 0. If a = 0‚ then the equation is linear‚ not quadratic. The numbers a‚ b‚ and c are the coefficients of the equation‚ and may be distinguished by calling them‚ the quadratic coefficient‚ the linear coefficient and the constant or free
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HONG KONG EXAMINATIONS AND ASSESSMENT AUTHORITY HONG KONG DIPLOMA OF SECONDARY EDUCATION EXAMINATION MATHEMATICS Extended Part Module 2 (Algebra and Calculus) (Sample Paper) Time allowed: 2 hours 30 minutes This paper must be answered in English INSTRUCTIONS 1. This paper consists of Section A and Section B. Each section carries 50 marks. 2. Answer ALL questions in this paper. 3. All working must be clearly shown. 4. Unless otherwise specified‚ numerical answers must be exact. Not to be
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Grade Nine Problems 1) Elizabeth visits her friend Andrew and then returns home by the same route. She always walks 2km/h when going uphill‚ 6km/h when going downhill and 3km/h when on level ground. If her total walking time is 6 hours‚ then what is the total distance she walks in km? Need A Hint? Answer 2) Joyce was decorating her store window for a going out of business sale. She wanted to make a figure that looks like the following. The shaded piece is made of a different material.
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Task #3: Abstract Algebra Competency 210.4.2: Groups & Competency 210.4.4: Fields Jennifer Moore Western Governor’s University Part A: The image below is the fifth roots of unity. Using these fifth roots of unity and de Moivre’s formula to verify that the fifth roots of unity form a group under complex multiplication. de Moivre’s formula is z^k=cos(2πk/n)+isin(2πk/n)‚k=0‚1‚2‚…‚n-1 (Nicodemi‚ 2006) for the 5th roots unity of n=5. The following show the fifth roots of unity using
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Week 6 Teamwork Assignment Task #1: Weekly pay before deductions or expenses Job 1: $50‚310 / 52 week in a year = $967.50 Job 2: 6 hours a day x 5 days a week x $20.50 = $615.00 Task #2: Weekly payroll deductions Job 1: $967.50 x 0.15 = $145.13 Job 2: $615 x 0.12 = $73.80 Task #3: Weekly job-related expenses Job 1: Daycare: $175.00 After school program: $75.00 Clothing:
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Have you ever had that desire to accomplish something and give it your all? Like maybe studying really hard for your algebra midterm exam? By staying up every night and hoping it’s all worth it. Imagine a little young lady working her hardest every day at practice‚ staying up late‚ pushing herself and going an extra mile every single day for her desire to play varsity ball. All her determination being set aside through difficult games and sometimes no playing time. Little did she know this home
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In Andrew Hacker’s “ Is Algebra Necessary?” he talks about the mathematics education system taught to students. Mr. Hacker says too much pressure is placed on students to excel at a high level of algebra. In fact‚ California’s two university systems only consider applicants who have taken three years of mathematics. In addition‚ many community colleges and Ivy Leagues look for a score of seven-hundred on the math section of the SAT. Only 9 percent of men and 3 percent of women attained that score
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7 x2 = 11 x1 + 2 x2 = −2 1 5 1 0 1 0 1 0 2 7 2 −3 2 1 0 1 −2 11 −2 21 −2 −7 12 −7 −3x2 = 21 x1 + 2 x2 = −2 x2 = −7 x1 = 12 x2 = −7 1 2 CHAPTER 1 • Linear Equations in Linear Algebra 3. The point of intersection satisfies the system of two linear equations: x1 + 5 x2 = 7 x1 − 2 x2 = −2 1 1 5 −2 7 −2 x1 + 5 x2 = 7 Replace R2 by R2 + (–1)R1 and obtain: Scale R2 by –1/7: Replace R1 by R1 + (–5)R2: The point
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