Math 205 A & B Quiz 08 Ver01 Math Worksheet - Bates College, 2015
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1Math 205 A & B
Quiz 08 ver01 page 1
04/03/2015
Name
8
10
1. Let A =
. Find the required matrices P and D that show why A is diagonalizable.
2
1
5
Hint: The vector v =
satisfies Av = 4v.
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5
3
11
2
2
2. Let a =
and b =
and c =
w
.
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6
5
3
⊥
2A. Suppose that H is a subspace of R
and a is in H. Does b belong to H
? Explain your answer.
2B. Find w for which c and a are orthogonal.
2C. Find the distance from b to a.
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