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Math 104
Fall 2009
Homework 3
Due Wednesday, October 14, 2009
1. Fill in the missing words: if
AB
= 0 then the columns of
B
are in the
of
A
,
and the rows of
A
are in the
of
B
.
2. Find the matrix
Q
corresponding to the orthogonal projection onto the linear space spanned by
1
1
1
and
1
0
1
.
3. Exercise 2.3, Chapter 2 of TrefethenBau (a Hermitian matrix is a matrix obeying
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Unformatted text preview: A * = A ). [Hint: when writing Ax = λx , think about taking the dot product on both sides with a judiciously chosen vector, e.g. x for part a)?] 4. Exercise 2.6, Chapter 2 of TrefethenBau. 1...
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This document was uploaded on 12/05/2010.
 Fall '09
 Math

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