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a.
The 1norm (column sum) for the matrix
A
=
123
256
369
The sum of elements in each column:
1+2+3=6
2+5+6=13
3+6+9=18
The maximum is 18, so

A

1
=18
The
∞
norm (row sum): The sum of elements in each row is the same since the matrix is
symmetric, so

A

∞
The 2norm is the same as the spectral norm since the matrix is symmetric. We need to Fnd
the eigenvalues of
A
1
−
λ
23
25
−
λ
6
36
9
−
λ
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 Fall '08
 BELL,D

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