Elementary Linear Algebra
Elementary Linear Algebra
8th Edition
ISBN: 9780357156100
Author: Ron Larson
Publisher: Cengage Limited
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Chapter 5.CM, Problem 5CM

Take this test to review the material in Chapters 4 and 5. After you are finished, check your work against the answers in the back of the book.

Prove that the set of all singular 3 × 3 matrices is not a vector space.

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The original idea for creating this applet comes from Steve Phelps' Graph the Line applet. Directions: 1) Examine the equation shown on the right side of the screen. 2) Reposition the 2 big points so that the line is the graph of the displayed equation. 3) Click the "Check Answer" checkbox to check. If you're correct, the app will inform you. If you're not, you'll know this as well. If you're not correct, keep trying until you position the gray line correctly. 4) After correctly graphing the line, click the "Generate New Line" button.
Problem 1 & 2 answers  1. One diagonal has 11 squares, then total square in total for two diagonal line is 11 + 11 - 1 = 21 . 2. Each part has 5 squares.(except middle)Multiply by 4: 5 × 4 = 20.Add the middle square: 20 + 1 = 21.
2. Now Figure out a different way you could determine how many squares there are in the figure, again without counting them all one-by-one. Briefly describe this other method:
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