ps5solutions[1]

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Unformatted text preview: APMA
2101
Problem
Set
#5
Sample
Solution
Set
(due
24
March
2009)
 
 
 Section
7.6:
Vector
Spaces

[16
pts,
2
pts
each]
 
 
 
 
 
 
Section
7.7:
Gram­Schmidt
[6
pts,
3
pts
each]
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 Section
8.1:
Matrix
Algebra
[16
pts,
2
pts
per
lettered
part
in
20,
23
and
for
38,
43]
 
 Historical
Research
[2
pts,
1
pt
each]
 (a) Jorgen Pederson Gram was born in Denmark, and lived from 1850 to 1916. Erhard Schmidt was born in Germany (in a part that is now Estonia) and lived from 1876-1959. (b) Laplace and Cauchy are believed to have first used the Gram-Schmidt orthogonalization process long before it was so named. 
 ...
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This note was uploaded on 11/02/2009 for the course APMA 2102 taught by Professor Keyes during the Spring '08 term at Columbia.

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