Hi everybody
I am stuck on this question and hope to get some ideas from u guys
(a) If T: R^m --> R^n is a linear transformation, show that there is a number M such that |T(h)|=< M|h| for h in R^m
(b) Prove that T is continuous
Here is my attempt:
T: R^m --> R^n is a linear transformation if:
T(x+y) = T(x)+T(y) for all x, y in R^m
T(kx) = kT(x) for k is real number
What do I have to do now? and how do you start part b?
Thanks for any suggestions