Let [R denote the set of real numbers and C the set of complex
... instances goes beyond the introductory level. A more detailed treatment of the basics of linear algebra can for example, be found in (2003), whereas Lancaster and Tismenetsky (1985) provide excellent work for those who are interested in more details at an advanced level. We will outline the most imp ...
... instances goes beyond the introductory level. A more detailed treatment of the basics of linear algebra can for example, be found in (2003), whereas Lancaster and Tismenetsky (1985) provide excellent work for those who are interested in more details at an advanced level. We will outline the most imp ...
MATH 217-4, QUIZ #7 1. Let V be a vector space and suppose that S
... MATH 217-4, QUIZ #7 1. Let V be a vector space and suppose that S = {v1 , . . . , vn } is a spanning set for V . We are also given a vector space W , and w1 , w2 , . . . wn . Prove that there is at MOST one linear transformation T : V → W such that T (v1 ) = w1 , T (v2 ) = w2 , . . . , and T (vn ) = ...
... MATH 217-4, QUIZ #7 1. Let V be a vector space and suppose that S = {v1 , . . . , vn } is a spanning set for V . We are also given a vector space W , and w1 , w2 , . . . wn . Prove that there is at MOST one linear transformation T : V → W such that T (v1 ) = w1 , T (v2 ) = w2 , . . . , and T (vn ) = ...
