題組內容

1. True or False (25%. 5 pts each) For each of the statements that follows, answer true if the statement is always true and false otherwise.

(c) If L1 and L2 are both linear operators on a vector space V, then Li + L2 is also a linear operator on V, where L1 + L2 is the mapping defined by 
(L1+L2)(v)=L1(v)+L2(v)forallv62847eb6ece2b.jpgV