Let V be any vector space, and let T : V V be defined by T(v) = 3v. (a) What is the kernel of T ? (b) What is the range of T ?

Week 1 BASICS REWIEW Arithmetic: a+b=b+a a+b +c=a+(b+c) ab+c =ab+ac ab=ba ab)c=a(bc) Multiplying Fractions: a c ac × = b d bd Dividing Fractions: a÷ = ad b d bc Adding Fractions: a+ = ad+cb= ad+bc b d bd bd bd Exponent Basics: an means multiply...