True/False. If the answer is true, provide an explanation. If it is false, give a counter-example or an explanation. a) Let B be a basis for R^n. The coordinate function CB is an isomorphism.
b) Let T:R^7 → R^5. If dim(Im(T)) = 3 then dim(ker(T)) = 2.
c) Letf:R^n → R^n be a linear transformation and let B1 and B2 be bases of R^n. If f is an isomorphism, then [f]B1 B2 is also an isomorphism.