Is working out the smith normal form trivial?
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What's the point of using elementary column operations to work out the smith normal form of a matrix of reals when it is easy to work out exactly how many redundant equations there are from the row reduced matrix, thus identifying the variable s associated with the smith normal form?
linear-algebra matrices
asked Jan 20 at 19:47
Dis-integratingDis-integrating
1,036426
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add a comment |
$begingroup$
What's the point of using elementary column operations to work out the smith normal form of a matrix of reals when it is easy to work out exactly how many redundant equations there are from the row reduced matrix, thus identifying the variable s associated with the smith normal form?
linear-algebra matrices
asked Jan 20 at 19:47
Dis-integratingDis-integrating
1,036426
$endgroup$
$begingroup$
Could you provide some context? Smith normal form can be obtained in a much more general setting. For instance, one can show the fundamental theorem of finitely generated modules over a principal ideal domain using this form.
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– Dean Young
Jan 21 at 4:44
add a comment |
$begingroup$
What's the point of using elementary column operations to work out the smith normal form of a matrix of reals when it is easy to work out exactly how many redundant equations there are from the row reduced matrix, thus identifying the variable s associated with the smith normal form?
linear-algebra matrices
asked Jan 20 at 19:47
Dis-integratingDis-integrating
1,036426
$endgroup$
What's the point of using elementary column operations to work out the smith normal form of a matrix of reals when it is easy to work out exactly how many redundant equations there are from the row reduced matrix, thus identifying the variable s associated with the smith normal form?
linear-algebra matrices
linear-algebra matrices
asked Jan 20 at 19:47
Dis-integratingDis-integrating
1,036426
asked Jan 20 at 19:47
Dis-integratingDis-integrating
1,036426
asked Jan 20 at 19:47
Dis-integratingDis-integrating
1,036426
asked Jan 20 at 19:47
Dis-integratingDis-integrating
1,036426
asked Jan 20 at 19:47
Dis-integratingDis-integrating
1,036426
1,036426
$begingroup$
Could you provide some context? Smith normal form can be obtained in a much more general setting. For instance, one can show the fundamental theorem of finitely generated modules over a principal ideal domain using this form.
$endgroup$
– Dean Young
Jan 21 at 4:44
add a comment |
$begingroup$
Could you provide some context? Smith normal form can be obtained in a much more general setting. For instance, one can show the fundamental theorem of finitely generated modules over a principal ideal domain using this form.
$endgroup$
– Dean Young
Jan 21 at 4:44
$begingroup$
Could you provide some context? Smith normal form can be obtained in a much more general setting. For instance, one can show the fundamental theorem of finitely generated modules over a principal ideal domain using this form.
$endgroup$
– Dean Young
Jan 21 at 4:44
$begingroup$
Could you provide some context? Smith normal form can be obtained in a much more general setting. For instance, one can show the fundamental theorem of finitely generated modules over a principal ideal domain using this form.
$endgroup$
– Dean Young
Jan 21 at 4:44
add a comment |
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Could you provide some context? Smith normal form can be obtained in a much more general setting. For instance, one can show the fundamental theorem of finitely generated modules over a principal ideal domain using this form.
$endgroup$
– Dean Young
Jan 21 at 4:44