Archived

This topic is now archived and is closed to further replies.

shaddowofadream

Vector Math help

Recommended Posts

I have two vectors a8,10,9) b7,3,5) Would the following statement be true.. ? --> Transpose(a)*(a) == (a)*transpose(a) ? how would I work out det(a * transpose(a)) ? any help with this will be helpful thanx also any links that would help would also be useful thanx

Share this post


Link to post
Share on other sites
Cedric    158
Yeah... Look into matrix properties, or, more simply, do it yourself! Multiplying and transposing matrices is easy. If you arrive to the same results on both sides of the equation, then there is 99% chance that the property holds in general.

Cédric

Share this post


Link to post
Share on other sites
Try looking it up in your linear algebra book. If you don''t have one, try a library.

However, as a hint, this relation is extremely easy to figure out. First way, use the rules for the multiplication of two matrices inside the determinant operator. Second, just step back and think for a second about commutativity, and what a*a^T must be for that relation to be true.

And the answer is not zero.

Share this post


Link to post
Share on other sites
thnx for the help (sorta)...
i STFW and got no help initally so went and checked out the libary, I quickly found 4-5 good references.

Lesson learnt... never take the easy way out, as it usually turns out to be one of the most difficult anyway ...

Share this post


Link to post
Share on other sites
LilBudyWizer    491
The left side is a 1 x 1 matrix and the right is a 3 x 3 matrix so they can''t be equal. The columns of the right side are all multiples of one another so the determinant must be zero.

Share this post


Link to post
Share on other sites
Guest
This topic is now closed to further replies.