What Does RGV Stand For in Casual Communication?

[Hernaner28]

Hi. I have the following sentence:

$$\begin{array}{l}<br /> A,B \in {M_{nxn}}\\<br /> A \ne 0\\<br /> B \ne 0\\<br /> {\rm{if }}AB = 0{\rm{ then}}\\<br /> {\rm{|A| = 0 or |B| = 0}}<br /> \end{array}$$

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:

$$\begin{array}{l}<br /> A,B \in {M_{nxn}}\\<br /> A \ne 0\\<br /> B \ne 0\\<br /> {\rm{if }}AB = 0{\rm{ then}}\\<br /> {\rm{|A| = 0 or |B| = 0}}<br /> \end{array}$$

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


Thanks!

Do you know the relationship between $\det(A), \det(B) \text{ and } \det(AB)?$

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