Set 4 Solutions.pdf - ESE 318-02 Fall 2018 Homework...

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ESE 318-02, Fall 2018 Homework Set #4 (13 problems) Due Tuesday, Sep. 25 1. Zill 8.4.4. 2. Zill 8.4.6. 3. Zill 8.4.22. Do this two different ways: (a) Cofactor expansion, (b) the “optional method”, or equation (11) of Zill pg 370. 4. Zill 8.4.24. 5. Zill 8.4.25. 6. (a) Zill 8.5.13; (b) Zill 8.5.14. 7. Zill 8. 4 .27 (but use Section 5 properties, not raw computation). 8. Zill 8.5.16. 9. Zill 8.5.18. 10. Zill 8.5.22. 11. Zill 8.5.26 (Hint: row operations to get into upper triangular form. See Zill Ex. 6.) 12. Zill 8.5.38. 13. A = a 1 a 2 a 3 b 1 b 2 b 3 c 1 c 2 c 3 æ è ç ç ç ç ö ø ÷ ÷ ÷ ÷ det A = 2 B = a 1 3 a 2 a 3 2 b 1 6 b 2 2 b 3 3 c 1 9 c 2 3 c 3 æ è ç ç ç ç ö ø ÷ ÷ ÷ ÷ C = 2 A (a) Find det B . (b) Find det C . (c) Find det A -1 .
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ESE 318-02, Fall 2018 Solutions 1. Zill 8.4.4. 18 8 10 5 2 4 2 1 2 2 22 C 2. Zill 8.4.6. 24 8 4 12 2 2 4 2 3 2 0 4 1 0 1 3 2 2 0 4 2 41 M 3. Zill 8.4.22. (a) Using the top row, 335 10 225 120 10 45 5 40 3 14 4 35 10 5 20 20 3 4 7 2 1 10 7 5 1 5 10 4 5 2
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