Systems of Linear Equations Matrices












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Find examples of matrices that exhibit the following behavior.



2 × 2 matrices B and C such that BC = −CB (excluding the case BC = 0).










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  • $begingroup$
    Here's a hint: if you take the determinant of both sides, you get $det B det C = - det B det C$, which implies that either $det B = 0$ and/or $det C = 0$.
    $endgroup$
    – Trevor Kafka
    Feb 3 at 6:02
















0












$begingroup$


Find examples of matrices that exhibit the following behavior.



2 × 2 matrices B and C such that BC = −CB (excluding the case BC = 0).










share|cite|improve this question









$endgroup$












  • $begingroup$
    Here's a hint: if you take the determinant of both sides, you get $det B det C = - det B det C$, which implies that either $det B = 0$ and/or $det C = 0$.
    $endgroup$
    – Trevor Kafka
    Feb 3 at 6:02














0












0








0


1



$begingroup$


Find examples of matrices that exhibit the following behavior.



2 × 2 matrices B and C such that BC = −CB (excluding the case BC = 0).










share|cite|improve this question









$endgroup$




Find examples of matrices that exhibit the following behavior.



2 × 2 matrices B and C such that BC = −CB (excluding the case BC = 0).







matrices






share|cite|improve this question













share|cite|improve this question











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asked Feb 3 at 3:29









Mandlah SibandaMandlah Sibanda

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41












  • $begingroup$
    Here's a hint: if you take the determinant of both sides, you get $det B det C = - det B det C$, which implies that either $det B = 0$ and/or $det C = 0$.
    $endgroup$
    – Trevor Kafka
    Feb 3 at 6:02


















  • $begingroup$
    Here's a hint: if you take the determinant of both sides, you get $det B det C = - det B det C$, which implies that either $det B = 0$ and/or $det C = 0$.
    $endgroup$
    – Trevor Kafka
    Feb 3 at 6:02
















$begingroup$
Here's a hint: if you take the determinant of both sides, you get $det B det C = - det B det C$, which implies that either $det B = 0$ and/or $det C = 0$.
$endgroup$
– Trevor Kafka
Feb 3 at 6:02




$begingroup$
Here's a hint: if you take the determinant of both sides, you get $det B det C = - det B det C$, which implies that either $det B = 0$ and/or $det C = 0$.
$endgroup$
– Trevor Kafka
Feb 3 at 6:02










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