Hi,
Can you elaborate on how to construct Tinverse easily? Isn't the computational difficulty the same, in that finding T such that T.v=w is as hard as finding a Tinv such that Tinv.w=v?
Any matrix will do. I will then be applying the transformation to other vectors in the space (I...
I'm looking to map Rn to Rn. See above post. I used the 3D vector (1,1,1) as an example.
...so in R7 I want to map (1,1,1,1,1,1,1) to (0,0,0,0,0,0,1) etc.
I have a vector of all ones in n-dimensions. For example (1,1,1) in 3D. I want to find a invertible rotation matrix T that transforms the vector of all ones to the vector (0,0,0,...,0,,1):
Let v be the vector of all ones, and w=(0,0,...,0,1)
Find T such that T.v == wIn low dimension it is easy...