find an LU factorization of the given matrix.

Survey of Math Week 1 Notes Section 1.1: Problem Solving George Poyla’s Problem-Solving Method: 1. Understand what the question is asking. 2. Create a plan to solve the question. 3. Execute your plan to get an answer. 4. Check the answer that you get. Strategies to help solve math problems: Draw pictures (Trees, bar graphs, pie charts, etc.). Choose good names for unknown variables. Be systematic. Look for patterns. Try a simpler version of the problem. Rewrite the problem in a way that is familiar. Make guesses (At least as a place to start tackling the problem). Key Principles: Always Principle: If something is mathematically proven to be true, then it is always true. Counterexample Principle: If an example can be found that disproves a mathematical statement, then that statement is not valid. Order Principle: The order of operations in a problem matters to get the correct answer. Splitting-Hairs Principle: If two signs in mathematics look similar, but sound different, then they do not mean the same thing. Analogies Principle: Many terms in mathematics that sound like words used in everyday life are not coincidental. Three-Way Principle: There are three main ways to approach a mathematical problem. 1. Verbally: Explain the problem in your own words in order to make sense of it. 2. Graphically: Use pictures and diagrams. 3. By Example: Create exa