Page 1 of 1
(d) (2 points) If T is a linear transformation from P (the vector space of all polynomials) to S (the vector space of al
Posted: Thu May 12, 2022 12:06 pm
by answerhappygod
- D 2 Points If T Is A Linear Transformation From P The Vector Space Of All Polynomials To S The Vector Space Of Al 1 (48.52 KiB) Viewed 21 times
(d) (2 points) If T is a linear transformation from P (the vector space of all polynomials) to S (the vector space of all sequences), that takes a polynomial ao +12+...+2,2" to a sequence of its coefficients do, a1,..., An,0,0,0,.... What is the kernel of T? (e) (2 points) Is the set of smooth functions {1, sinº (x), sin(x), cos? (x)} a linearly inde pendent set? WHY or WHY NOT? (f) (2 points) Let V be some vector space of dimension n. A spanning set S of V contains n elements. Is S linearly independent? WHY or WHY NOT?