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Homework 7
- Section 4.2
- Read Section 4.2.
- Watch Lecture 15: Projections onto subspaces of the MIT OpenCourseWare series
- Worked example (group work): 5*.
- 5*. Follow the directions for Problem 5 in Problem Set 4.2, with \({\bf a}_1 = (2,-1,2)\) and \({\bf a}_2 = (-1,2,2)\).
- Homework: 1-3, 5, 6, 8, 9, 12, 14, 17-19, 21, 20, 24
- Hand In: 5**, 14*, 20*:
- 5**. Follow the directions for Problem 5 in Problem Set 4.2, with \({\bf a}_1 = (1,-2,3)\) and \({\bf a}_2 = (-2,2,2)\).
- 14*. Follow the directions for Problem 14 in Problem Set 4.2, but with the third column removed instead of the last column.
- 20*. Follow the directions for Problem 20 in Problem Set 4.2, but with the plane \(2x+y-4z=0\).
- Section 4.3
- Read Section 4.3.
- Watch Lecture 16: Projection matrices and least squares of the MIT OpenCourseWare series
- Worked example (group work): 6*.
- 6*. Follow the directions for Problem 6 in Problem Set 4.3, with \({\bf b} = (-1,1,4,4)\).
- Homework: 1-3, 6, 7, 9, 17, 21, 22
- Hand In: 6**, 22*:
- 6**. Follow the directions for Problem 6 in Problem Set 4.3, with \({\bf b} = (-1,1,4,3,8)\) and \({\bf a} = (1,1,1,1,1)\).
- 22*. Follow the directions for Problem 22 in Problem Set 4.3, with \(b = 5, 2, -2, -2, -3\) (that is, fit a line to the points \((t,b)=(-2,5),(-1,2),(0,-2),(1,-2),(2,-3)\)).