Math 530 - Spring, 2012 Homework 3
Name: _Solutions_
Mathematics Quote: The union of the mathematician with the poet, fervor with measure, passion
with correctness, this surely is the ideal. James, William (1842 - 1910)
Page 63:
1, 3, 4*, 9, 12, 14, 24*,
Math 530 - Fall, 2012 Homework 11
Name: _Solutions_
Page 380:
Turn in Find A such that T(v)Av:
3(a)(b)(c), 6(b)(c)
3. (a) Tv 1 , v 2 v 2 , v 1 , T
v1
(b) Tv 1 , v 2 v 1 , v 1 , T
v1
(c) Tv 1 , v 2 0, v 1 , T
v2
v2
v1
0 1
v1
1 0
v2
1 0
v1
1 0
v2
v2
0 0
v1
Math 530 - Fall, 2012 Homework 1 - Solutions
Mathematics Quote: The pleasure we obtain from music comes from counting, but counting
unconsciously. Music is nothing but unconscious arithmetic. Gottfried Wilhelm Leibniz (1646-1716)
Page 8:
1, 2*, 3*, 4, 7*,
Math 530 - Fall, 2012
Homework 2
Name: _Solutions_
Mathematics Quote: The most beautiful thing we can experience is the mysterious. It is the source of
all true art and science. Einstein, Albert (1879-1955)
Page 40:
5*, 6, 7*, 9(a*)(b), 10, 11, 12, 15*, 1
Math 530 - Fall, 2011 Homework 5
Name: _Solutions_
Page 115:
1*, 2, 4, 7*, 8, 10, 13*(a), 16*, 17*,
20*(1st two matrices), 22*
Extra points: 13(b)
1. (1) A
1 0
9 3
T
A 1
1 9
, AT
1 3
0 3
0
3
1
3
1 3
, A T 1
1
3
0
1
, A 1
1
3
0
a.
(2) A
1 c
,A
T
c 0
Math 530 - Fall, 2012 Homework 13
Name: _Solutions_
Page 380:
Practice: 3, 4, 7, 10, 12, 20
Turn in problems: 6, 8, 9, 13, 14, 17
1 v
v
It is not linear because Tcv
6. (a) Tv
1 cv c v v if c 0.
|c| v
v
|c|v
v1
(b) Tv v 1 v 2 v 3 1 1 1
Av so it is a lin