Solution Found!
(a) Let U D fp 2 P4.F/ W p.6/ D 0g. Find a basis of U.(b) Extend the basis in part (a)
Chapter 2, Problem 4(choose chapter or problem)
(a) Let \(U=\left\{p \in \mathcal{P}_{4}(\mathbf{F}): p(6)=0\right\}\). Find a basis of \(U\).
(b) Extend the basis in part (a) to a basis of \(\mathcal{P}_{4}(\mathbf{F})\).
(c) Find a subspace W of \(\mathcal{P}_{4}(\mathbf{F})\) such that \(\mathcal{P}_{4}(\mathbf{F})=U \oplus W\).
Questions & Answers
(1 Reviews)
QUESTION:
(a) Let \(U=\left\{p \in \mathcal{P}_{4}(\mathbf{F}): p(6)=0\right\}\). Find a basis of \(U\).
(b) Extend the basis in part (a) to a basis of \(\mathcal{P}_{4}(\mathbf{F})\).
(c) Find a subspace W of \(\mathcal{P}_{4}(\mathbf{F})\) such that \(\mathcal{P}_{4}(\mathbf{F})=U \oplus W\).
ANSWER:Step 1 of 7
a)
Let 
On the other hand, if 
This establishes one-one correspondence between 
Reviews
Review this written solution for 961411) viewed: 566 isbn: 9783319110790 | Linear Algebra Done Right (Undergraduate Texts In Mathematics) - 3 Edition - Chapter 2.c - Problem 4
Thank you for your recent purchase on StudySoup. We invite you to provide a review below, and help us create a better product.
No thanks, I don't want to help other students