Quickest way to find the eigenvalues of a binary hermitian matrix?
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I have an 11x11 matrix and need to find its charactaristic polynomial (or eigenvalues). I would like to do this analytically but was wondering if there's any tricks that can be used due to its hermitian and binary nature.
linear-algebra eigenvalues-eigenvectors
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add a comment |
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I have an 11x11 matrix and need to find its charactaristic polynomial (or eigenvalues). I would like to do this analytically but was wondering if there's any tricks that can be used due to its hermitian and binary nature.
linear-algebra eigenvalues-eigenvectors
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1
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When you say "binary", do you mean that you want to work over the field with two elements, or do you just mean that all entries are zeroes and ones?
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– John Hughes
Jan 19 at 12:54
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@JohnHughes i meant that all entries are zeroes and ones
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– James
Jan 19 at 15:46
add a comment |
$begingroup$
I have an 11x11 matrix and need to find its charactaristic polynomial (or eigenvalues). I would like to do this analytically but was wondering if there's any tricks that can be used due to its hermitian and binary nature.
linear-algebra eigenvalues-eigenvectors
$endgroup$
I have an 11x11 matrix and need to find its charactaristic polynomial (or eigenvalues). I would like to do this analytically but was wondering if there's any tricks that can be used due to its hermitian and binary nature.
linear-algebra eigenvalues-eigenvectors
linear-algebra eigenvalues-eigenvectors
asked Jan 19 at 12:21
JamesJames
15310
15310
1
$begingroup$
When you say "binary", do you mean that you want to work over the field with two elements, or do you just mean that all entries are zeroes and ones?
$endgroup$
– John Hughes
Jan 19 at 12:54
$begingroup$
@JohnHughes i meant that all entries are zeroes and ones
$endgroup$
– James
Jan 19 at 15:46
add a comment |
1
$begingroup$
When you say "binary", do you mean that you want to work over the field with two elements, or do you just mean that all entries are zeroes and ones?
$endgroup$
– John Hughes
Jan 19 at 12:54
$begingroup$
@JohnHughes i meant that all entries are zeroes and ones
$endgroup$
– James
Jan 19 at 15:46
1
1
$begingroup$
When you say "binary", do you mean that you want to work over the field with two elements, or do you just mean that all entries are zeroes and ones?
$endgroup$
– John Hughes
Jan 19 at 12:54
$begingroup$
When you say "binary", do you mean that you want to work over the field with two elements, or do you just mean that all entries are zeroes and ones?
$endgroup$
– John Hughes
Jan 19 at 12:54
$begingroup$
@JohnHughes i meant that all entries are zeroes and ones
$endgroup$
– James
Jan 19 at 15:46
$begingroup$
@JohnHughes i meant that all entries are zeroes and ones
$endgroup$
– James
Jan 19 at 15:46
add a comment |
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$begingroup$
When you say "binary", do you mean that you want to work over the field with two elements, or do you just mean that all entries are zeroes and ones?
$endgroup$
– John Hughes
Jan 19 at 12:54
$begingroup$
@JohnHughes i meant that all entries are zeroes and ones
$endgroup$
– James
Jan 19 at 15:46