What Does RGV Stand For in Casual Communication?

[Hernaner28]

Hi. I have the following sentence:

[tex]\begin{array}{l}
A,B \in {M_{nxn}}\\
A \ne 0\\
B \ne 0\\
{\rm{if }}AB = 0{\rm{ then}}\\
{\rm{|A| = 0 or |B| = 0}}
\end{array}[/tex]

I know this is true but how can I realize? Just thinking about an example?


Thanks!

 

[morphism]

Can you express the determinant of AB in terms of those of A and B?

 

[Ray Vickson]

Hi. I have the following sentence:

[tex]\begin{array}{l}
A,B \in {M_{nxn}}\\
A \ne 0\\
B \ne 0\\
{\rm{if }}AB = 0{\rm{ then}}\\
{\rm{|A| = 0 or |B| = 0}}
\end{array}[/tex]

I know this is true but how can I realize? Just thinking about an example?


Thanks!

Do you know the relationship between [itex] \det(A), \det(B) \text{ and } \det(AB)?[/itex]

RGV

 

[Hernaner28]

Oh yes, it was incredibly simple: det(A)det(B)=det(AB) so det(A)det(B)=det(0) . I did one like this for symetric ones and I just didn't realize I could do the same here!
Thank you guys!

edit. What's RGV?

 

[Ray Vickson]

Oh yes, it was incredibly simple: det(A)det(B)=det(AB) so det(A)det(B)=det(0) . I did one like this for symetric ones and I just didn't realize I could do the same here!
Thank you guys!

edit. What's RGV?

It's a signature, the equivalent of "10-4 Good Buddy" or "over and out".

RGV