Which is what your answer key has.
Simplify as far as possible: (v*v^T)^2, assuming v is a column vector of R^n with ||v|| = 1.
This was a problem on a recent quiz I took and I am having trouble understanding it. The short answer key given after the quiz says that it can be simplified to just (v*v^T), no square needed. Can anyone please help with this proof?
Thanks,
so which is just The dot product two vectors a, b can be computed knowing that. so our equation turns into since the magnitude the magnitude is where are components of v. we know the value under the square root must be 1 as and so . So . Hope this helps.