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Homework 1
- Section 1.1 The Vector Space of m x n Matrices
- Read Section 1.1. Do the True/False questions (p. 16). Do Problems 1.1, 1.2. WeBWorK reading question due January 20 @ 9:50 am.
- A Geogebra linear combination activity
- In class (group work): 1.3, 1.10. Final due date: January 30
- Homework: 1.8, 1.11, 1.12, 1.13, 1.14, 1.16, 1.18, 1.20, 1.26, 1.28, 1.32, 1.36
- Hand In: 1.12*, 1.20*
- 1.12*. Complete Problem 1.12 on Page 18, but with the vectors \[X_1 = [1,-1,1,-1]^t, X_2 = [3,-2,1,-2]^t\ \mbox{and}\ X_3 = [-3,2,2,-1]^t.\]
- 1.20*. Complete Problem 1.20 on Page 19, but with the adjustments as follows:
- In Part (a) use the vector \([2,-1]^t\).
- In Part (b) use the set of vectors \(\{[2,-1]^t,[3,1]^t\}\).
- In Part (e) use the set of vectors \(\{[-1,2,2]^t,[1,3,-1]^t\}\).
- In Part (f) use the set of vectors \(\{[-1,2,2]^t,[0,5,1]^t\}\).
- In Part (g) use the set of vectors \(\{[-1,1,-1]^t,[2,-2,2]^t\}\).
- Introduction to WeBWorK assignment due January 20 @ 11 pm. WeBWorK assignment due January 27 @ 11 pm
- Read Section 1.2. Do the True/False questions (p. 37). Do Problem 1.44. WeBWorK reading question due January 23 @ 9:50 am.
- A Geogebra activity on Systems of Linear Equations
- In class (group work): 1.45, 1.46(g). Final due date: February 3
- Homework: 1.46, 1.48, 1.49, 1.50
- Hand In: 1.46(i)*, 1.50*
- 1.46(i)*. Complete Problem 1.46(i) on Page 38, but with the system \[\matrix{2x+3y-z&=&-2\cr x-y+z&=&2\cr 2x+3y+4z&=&5\cr}\]
- 1.50*. Complete Problem 1.50 on Page 39, but replace the equations with \(y-x=2, y+4x=8\) and \(2y+x=a\), and replace the system correspondingly with \[\matrix{y-x&=&2\cr y+4x&=&8\cr 2y+x&=&a\cr}\]
- Read Section 1.3. Do the True/False questions (p. 60). Do Problem 1.54. WeBWorK reading question due January 27 @ 9:50 am.
- In class (group work): 1.56(b), 1.59(b). Final due date: February 8
- Homework: 1.56, 1.57, 1.59, 1.61, 1.62, 1.63, 1.65, 1.66, 1.68, 1.74
- Hand In: 1.56(d)*, 1.59(b)*, 1.66*
- 1.56(d)*. Complete Problem 1.56(d) on Page 61, but with the matrix \[\left[\matrix{1&-2&-3&6&-8&11\cr 3&-6&-8&17&-22&30\cr 3&-6&-7&16&-20&28\cr}\right]\]
- 1.59(b)*. Complete Problem 1.59(b) on Page 62, but with the system \[\matrix{-x+2y-3z&=&a\cr -2x+4y-5z&=&b\cr 6x-8y-z&=&c\cr}\]
- 1.66*. Complete Problem 1.66 on Page 63, but with the vectors \[X = [-2,1]^t\ \mbox{and}\ Y = [-1,1]^t.\]