- #1

bohdy

- 5

- 0

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 to find such a vector with the routine below, but computationally intensive when d>5. Is there a better way?

Basic routine: represent the components of T as variables and find a solution to the non-linear problem of finding an invertible matrix T (Det[T]!=0) that satisfies the dot product T.v == w.

Any better ideas?