Find out all equivalence classes? The 2019 Stack Overflow Developer Survey Results Are In Unicorn Meta Zoo #1: Why another podcast? Announcing the arrival of Valued Associate #679: Cesar ManaraLinear Algebra: equivalence classesAbout inverse matrixesEquivalent matrices represent the same linear map in different basesSimilarity classes of matricesCompute the equivalence classesWhat are the properties of congruent classes over symmetric matrices?Number of distinct equivalence classes under *-congruence and T-congruenceTrue/False From Howard Anton's Linear AlgebraEquivalence classes in $M_n(mathbbR)$Determining the equivalence classes of an equivalence relation represented by graph via its adjacent matrix.
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Find out all equivalence classes?
The 2019 Stack Overflow Developer Survey Results Are In
Unicorn Meta Zoo #1: Why another podcast?
Announcing the arrival of Valued Associate #679: Cesar ManaraLinear Algebra: equivalence classesAbout inverse matrixesEquivalent matrices represent the same linear map in different basesSimilarity classes of matricesCompute the equivalence classesWhat are the properties of congruent classes over symmetric matrices?Number of distinct equivalence classes under *-congruence and T-congruenceTrue/False From Howard Anton's Linear AlgebraEquivalence classes in $M_n(mathbbR)$Determining the equivalence classes of an equivalence relation represented by graph via its adjacent matrix.
$begingroup$
Two Integer symmetric matrixes $A$ and $B$ are called equivalent with each other, if there exists $γ in SL(2,Z)$ such that $B = γ^TAγ$.
Obviously, equivalent matrixes share the same determinant. How can I find out all equivalence classes of $det = 56$? In other words, how can I divide all integer symmetric matrixes $A: |A| = 56$ into different equivalence classes?
linear-algebra matrices quadratic-forms
edited Mar 31 at 6:22
Alex Ravsky
43.1k32583
asked Mar 24 at 13:39
Mingwei ZhangMingwei Zhang
495
$endgroup$
add a comment |
$begingroup$
Two Integer symmetric matrixes $A$ and $B$ are called equivalent with each other, if there exists $γ in SL(2,Z)$ such that $B = γ^TAγ$.
Obviously, equivalent matrixes share the same determinant. How can I find out all equivalence classes of $det = 56$? In other words, how can I divide all integer symmetric matrixes $A: |A| = 56$ into different equivalence classes?
linear-algebra matrices quadratic-forms
edited Mar 31 at 6:22
Alex Ravsky
43.1k32583
asked Mar 24 at 13:39
Mingwei ZhangMingwei Zhang
495
$endgroup$
$begingroup$
Usually $B$ is defined to be equivalent to $A$ if $B=gamma^-1Agamma$.
$endgroup$
– Alex Ravsky
Apr 4 at 1:16
add a comment |
$begingroup$
Two Integer symmetric matrixes $A$ and $B$ are called equivalent with each other, if there exists $γ in SL(2,Z)$ such that $B = γ^TAγ$.
Obviously, equivalent matrixes share the same determinant. How can I find out all equivalence classes of $det = 56$? In other words, how can I divide all integer symmetric matrixes $A: |A| = 56$ into different equivalence classes?
linear-algebra matrices quadratic-forms
edited Mar 31 at 6:22
Alex Ravsky
43.1k32583
asked Mar 24 at 13:39
Mingwei ZhangMingwei Zhang
495
$endgroup$
Two Integer symmetric matrixes $A$ and $B$ are called equivalent with each other, if there exists $γ in SL(2,Z)$ such that $B = γ^TAγ$.
Obviously, equivalent matrixes share the same determinant. How can I find out all equivalence classes of $det = 56$? In other words, how can I divide all integer symmetric matrixes $A: |A| = 56$ into different equivalence classes?
linear-algebra matrices quadratic-forms
linear-algebra matrices quadratic-forms
edited Mar 31 at 6:22
Alex Ravsky
43.1k32583
asked Mar 24 at 13:39
Mingwei ZhangMingwei Zhang
495
edited Mar 31 at 6:22
Alex Ravsky
43.1k32583
asked Mar 24 at 13:39
Mingwei ZhangMingwei Zhang
495
edited Mar 31 at 6:22
Alex Ravsky
43.1k32583
edited Mar 31 at 6:22
Alex Ravsky
43.1k32583
edited Mar 31 at 6:22
Alex Ravsky
43.1k32583
43.1k32583
asked Mar 24 at 13:39
Mingwei ZhangMingwei Zhang
495
asked Mar 24 at 13:39
Mingwei ZhangMingwei Zhang
495
asked Mar 24 at 13:39
Mingwei ZhangMingwei Zhang
495
495
$begingroup$
Usually $B$ is defined to be equivalent to $A$ if $B=gamma^-1Agamma$.
$endgroup$
– Alex Ravsky
Apr 4 at 1:16
add a comment |
$begingroup$
Usually $B$ is defined to be equivalent to $A$ if $B=gamma^-1Agamma$.
$endgroup$
– Alex Ravsky
Apr 4 at 1:16
$begingroup$
Usually $B$ is defined to be equivalent to $A$ if $B=gamma^-1Agamma$.
$endgroup$
– Alex Ravsky
Apr 4 at 1:16
$begingroup$
Usually $B$ is defined to be equivalent to $A$ if $B=gamma^-1Agamma$.
$endgroup$
– Alex Ravsky
Apr 4 at 1:16
add a comment |
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$begingroup$
Usually $B$ is defined to be equivalent to $A$ if $B=gamma^-1Agamma$.
$endgroup$
– Alex Ravsky
Apr 4 at 1:16