I am working on several linear algebra problems and found myself stuck on two problems. Any helpful hints or suggestions on how to go about solving them will begreatly appreciated.
1) Given a 3 x 5 matrix and T(x)=Ax. Find range(T).
How do I find the range?
2) Let V be an inner product spae with a subspace W having B={w1,w2,...,wn} as an orthonormal basis. Show that the T(v)= the sum i=1 to n of <v,wi>wi is a linear transformation.