Question

Suppose that V is a vector space, \(x_0\) is a vector in V, and \(y_0\) is a linear functional on V; write Ax =\([x,y_0]x_0\) for every x in V.
If A is the projection on M along N, characterize M and N in terms of \(x_0~~ans~~y_0\)
Please, help

Answer 1

is this calc III?

Answer 2

No, it's theoretical linear algebra

Answer 3

\[
Ax = [x,y_0]x_0
\]What is the right hand side?

Answer 4

a vector multiple of x_0 in V