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EML 5060 Homework Set 2 Fall 2002

Page HW Class Topic
23 1.42 1.41' vectors of all types
24 1.49 1.48a decomposing vectors
24 1.54 1.54' Cartesian basis vectors
24 1.55b 1.55a planes
24 1.56a 1.56b lines
25 1.58 1.57 curved motion#0
25 1.59a 1.59b tangent planes
25 1.64b 1.64a normal vectors
53 2.37ac 2.37b elementary operations
53 2.38a 2.38b elementary operations
53 2.40c 2.40d elementary operations
54 2.53AC 2.53B elementary operations1
54 2.54B 2.54A elementary operations1
111 3.49 -- linearity
111 3.50 -- one unknown
111 3.51bc 3.51ad square systems of equations#
111 3.53ab 3.53c square systems of equations2
112 3.55 3.54 rectangular systems
112 3.57bc 3.57a bases
113 3.62a 3.61b rectangular systems
112 3.60b 3.60a unforced systems
113 3.67AB 3.67C inverse matrices3
164 4.89b 4.89a linear dependence
165 4.99b -- unforced systems*
165 4.104a 4.104b rank
232 6.47b 6.47a change of basis#
232 6.51 6.48 change of basis#
232 6.49 -- change of basis#
232 6.50a -- change of basis
233 6.56 -- change of basis
273 7.75a 7.21 orthogonalization
301 8.42a 8.41a determinants4
336 9.46 9.47 eigenvalues and diagonalization#
336 9.48ab 9.48c eigenvalues and diagonalization
337 9.56b 9.56a principal axes5
337 9.57b -- principal axes5
337 9.58a 9.58b quadratic forms#
337 9.59a -- quadratic forms*

*: Recommended question. Not required if you know you can do it.

#: Make a graph.

0 z-component is 2

1 Use determinants.

2 Answer for a is wrong.

3 Use GE.

4 Use both methods.

5 Orthonormal matrix.

6 The value of b21 in the first column is 2, not 4. Be careful not to make errors in the determinant. Since u and v are nonunique, find those that result from Gram-Schmidt orthogonalization of the basis of the null space.

Also: Make exam 2 of 1998. Give yourself 50 minutes. Include your solutions with homework set Lin IV and grade yourself using the solutions on the web after you get it back.


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