Math 205a,b - Linear Algebra Worksheet
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1MATH 205A,B - LINEAR ALGEBRA
WINTER 2013
QUIZ 9
NAME:
Section:(Circle one)
A(1 : 10)
B(2 : 40)
Show ALL your work CAREFULLY.
(a) Let
1
3
2
2
6
1
=
=
=
1
2
3
3
5
0
Determine whether the set
=
is an orthogonal set. Justify your answer.
1
2
3
4
1
(b) Let
=
2
and
=
1
. Find the projection of
onto
= Span
.
3
2
(c) Let
and
be as in part (b). Find the shortest distance between
and the line (through
origin)
.
Date: March 27, 2013.
1
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