I don't quite understand the idea that (as my book says) every linear transformation with domain Rn and codomain Rm is a matrix transofrmation... I mean i get the idea of what a linear transformation is (sorta like a function) but it gives the theorem:
Let T: Rn -> Rm be linear. Then there is...
Thanks for your replay Mat. No that is the question,, my teacher is concerned with our actual writing of the proofs more so than giving us tuff problems. And yes lol it is incredibly obvious but how do i state it mathematically? arrgghh!
Hey all, I got a proposition I am supposed to prove by induction but am just a bit confused. The problem is as follows:
Prove by the principle of mathematical induction that if m is a natural number, then for each natural number n, there exists an integer a greater or equal to zero such that...
Well I know the scalar product(dot product) is defined to be:
u*v=||u||*||v||cos\theta
I've been lookin at it for the past hour or so and can't put it together how this definition applies.
Hi All,
I'm currently studying vector projections and the vector dot product. I ran into a problem on the homework I wasn't quite sure how to tackle... Any suggestions?The problem is stated as follows:
Determine ||v+w|| if v and w are unit vectors separated by an angle of \frac{\pi}{6}...