Matrices

da **Camillo** » 29/09/2006, 12:53

The conditions required for square matrix A, B to commute is :
$A = alpha.B +beta*I_2 $ . for $(2x2 )$matrices. $AA alpha , beta in RR $
Let's check if the condition indicated by nicasamarciano and this one are equivalent ..

da **nicola de rosa** » 29/09/2006, 13:01

Camillo ha scritto:The conditions required for square matrix A, B to commute is :
$A = alpha.B +beta*I_2 $ . for $(2x2 )$matrices. $AA alpha , beta in RR $
Let's check if the condition indicated by nicasamarciano and this one are equivalent ..

Which is $I_2$?

da **Camillo** » 29/09/2006, 13:59

$ I_2 =((1,0),(0,1))$ the identity matrix ( 2x2) .

da **nicola de rosa** » 29/09/2006, 14:17

Camillo ha scritto:$ I_2 =((1,0),(0,1))$ the identity matrix ( 2x2) .

Ok, your relationship expresses in synthetic way my conditions

Matrices

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