Row Reduction on Excel - Pepperdine University

Row Reduction on Excel Michael D. Smith Lycoming College January 8, 2016 Outline Why I chose Excel When I teach Excel How I teach Excel

First Reason for Using Excel 1) I allow my students to swap labeled columns in a matrix. This gives a total of four elementary operations: Interchange any two rows Interchange any two columns and labels to the left of the bar Multiply any row by a nonzero number Add any multiple of one row into another row The built in RREF commands on Maple and Mathematica dont have this.

Aside Why Allow Swapping Columns 1) It is legal provided that one switches the labels as well. 2x+3y=12 is the same equation as 3y+2x=12. 2) Allowing the column swap is a tradeoff. One gains the following: The ability to line up all pivot columns before any non-pivot columns. A echelon form where it easier to determine free and basic variables.

A cleaner explanation of the Simplex Algorithm. One only loses the uniqueness of reduced row echelon form. Second Reason for Using Excel Excel serves as a happy medium on the technology continuum. On one end is the no technology belief. On the other end is the belief that row reduction is of minimal importance in matrix and linear algebra and should be relegated to a computer algebra system after the first few classes.

Excel will do all the arithmetic but will not do the whole problem. The student still has to key in the row/column operations. This means the student still has to know what operation(s) to do next. When I Teach Excel Monday of the third week of classes. I spend one class period in the computer lab. Students have to row reduce by hand for the first two weeks. Students have to complete the first two quizzes without Excel.

The first exam is given in two parts one with and one without Excel. On the non-excel part, students have to solve three systems one with zero solutions, one with one solution, and one with infinite solutions. From then on, the use of Excel is allowed and strongly encouraged. Setting up Excel You will need 5 columns + the number of variables in your system. Highlight and center all of these columns. Wrap Text.

For stylistic purposes, paint all of these columns white. Select the first four columns and put them in text mode. Example We will work through the following system of linear equations: Link to Excel Document Problem Generator

I have made the following problem generators on Excel: 1) 2) 3) 4) 5) 6) System of Linear Equations Generator

Leontief Model Generator Simplex Algorithm Generator Eigenvector / Eigenvalue Generator Markov Chain Generator Leslie Matrix Generator Email me at [email protected] and I will share a copy with you.

Recently Viewed Presentations

  • TOP Code Realignment Project - ASCCC

    TOP Code Realignment Project - ASCCC

    What is the definition of a "Maximized Designed Academic Professor"?. Maximized - to increase something as much as possible.. Design - to plan and make decisions about something that is being build or created. "Maximized/Designed Academic Professor"
  • Chapter 6-9 "Industrialization, Immigration, Urbanization and ...

    Chapter 6-9 "Industrialization, Immigration, Urbanization and ...

    A young recruit named William Langer enlisted to fight in the war because, as he described it, "Here was our one great chance for excitement and risk. We could not afford to pass it up." Henry Villard felt the same....
  • Primary Care Trigger Tool - Health Quality & Safety Commission

    Primary Care Trigger Tool - Health Quality & Safety Commission

    Primary Care Trigger Tool Linda Holman ... Be aware of topical medication with potential systemic effects e.g. glaucoma drops 5 Reduction in medication dose - Look for change in the dose of a medication and the reason for the decrease...
  • TEN STEPS to IMPROVING COLLEGE READING SKILLS This

    TEN STEPS to IMPROVING COLLEGE READING SKILLS This

    Here are two examples of name calling taken from real life: The fast-food industry labels critics of their industry as "food police," "cookie cops," and "the grease Gestapo." During a taste test, consumers described the other leading brand of spaghetti...
  • Smart Training and Recruitment Insert client Logo here

    Smart Training and Recruitment Insert client Logo here

    This new on-line portal will be available to all employers by 2020, starting with levy payers in April 17. It is assumed that DAS will contain all of the employer's available funds for apprenticeship training. Employers will select their provider...
  • Standard/Objective: S6E5.b. Investigate the contribution of minerals to

    Standard/Objective: S6E5.b. Investigate the contribution of minerals to

    What is a mineral? Naturally occurring (No human input) Non-organic (they are not made by life processes) Characteristic chemical composition Distinctive physical properties Crystalline structure Name four properties (or clues) that scientists use to identify minerals.
  • CO-1 Instructors Workshop #1. Welcome

    CO-1 Instructors Workshop #1. Welcome

    Use Link & Learn, Practice Lab (or TWO 2014/training). TRS must sign 13615 Volunteer Agreement before Instructing. (AARP Training Guide, pg 9) Review Intake/Interview Processes & QR (p5101), check the box on VITA/TCE Vol Agreement (see example) Be VITA/TCE certified...
  • Lab 9: Meiosis - PCC

    Lab 9: Meiosis - PCC

    Meiosis Resembles 2 rounds of mitosis 2 cell divisions (meiosis I and meiosis II) 4 resulting haploid cells HAPLOID= 1 copy DIPLOID = 2 copies Meiosis Haploid gametes (n = 23) Egg cell Sperm cell Fertilization Meiosis Diploid zygote (2n...