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Homework 8
- Section 4.1 Definition of the Determinant
- Read Section 4.1. Do the True/False questions (pp. 255-256). Do Problem 4.1(a)(c)(e)(g)(i). WeBWorK reading question due October 20 @ 9:50 am.
- Homework: 4.1(b)(d)(h)(j), 4.4, 4.5, 4.8, 4.9, 4.10 (Use the result of Problem 4.9)
- Hand In: 4.1(h)*, 4.10(b)*
- 4.1(h)*. Complete Problem 4.1(h) on Page 256, but with the matrix \[\left|\matrix{-2&2&3\cr 1&4&2\cr 6&5&-3\cr}\right|\]
- 4.10(b)*. Similar to Problem 4.10(b) on Page 258: Prove that \(Z^t(X\times Y) = X^t(Y\times Z)\). (Use the result of Problem 4.9)
- WeBWorK assignment for Sections 4.1-4.2 due November 1 @ 11 pm
- Read Section 4.2. Do the True/False questions (p. 265). Do Problems 4.12(a)(c)(e). WeBWorK reading question due October 23 @ 9:50 am.
- Homework: 4.12(d)(f), 4.14, 4.15, 4.17, 4.23, 4.24, 4.25, 4.26
- Hand In: 4.12(d)*, 4.24, 4.26
- 4.12(d)*. Complete Problem 4.12(d) on Page 266, but with the matrix \[\left|\matrix{2&1&2&0\cr 2&1&2&1\cr 0&0&3&1\cr 4&3&2&5\cr}\right|\]
- 4.24, as in the text
- 4.26, as in the text
- Read Section 4.3. Do the True/False questions (p. 275). Do Problem 4.28. WeBWorK reading question due October 30 @ 9:50 am.
- Homework: 4.30, 4.32, 4.35
- Hand In: 4.30*, 4.35*
- 4.30*. Complete Problem 4.30 on Page 275, but with the system \[\matrix{x+3y-2z&=&p_1\cr 2x+2y-z&=&p_2\cr 2x+3y+4z&=&p_3\cr}.\]
- 4.35*. Complete Problem 4.35 on Page 276, but with the matrix \[A=\left[\matrix{x^2&x^3&x^4\cr x&x&x^2\cr x^4&x^3&x\cr}\right].\] (Hint: det(\(A\))\(= x^4(1-x)(1-x^3)=x^4-x^5-x^7+x^8\).)