Let P2 be the vector space of polynomials of degree 2 or less. Consider the following two ordered bases of P2: {-2 — х — г?, 2+ 2т +?, — 5 — 3г — 2?}, {2 – x – x², 2 – 2x – x2, 1 –- 2x – x2}. B a. Find the change of basis matrix from the basis B to the basis C. [id
Let P2 be the vector space of polynomials of degree 2 or less. Consider the following two ordered bases of P2: {-2 — х — г?, 2+ 2т +?, — 5 — 3г — 2?}, {2 – x – x², 2 – 2x – x2, 1 –- 2x – x2}. B a. Find the change of basis matrix from the basis B to the basis C. [id
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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please the answer first one the answer I got was wrong
![Let P2 be the vector space of polynomials of degree 2 or less. Consider the following two ordered bases of P2:
B
{-2 — х — 2?,, 2+ 2т + 2?, — 5 — За — 2:?\,
{2 – x – x2, 2
2x
x², 1 – 2x – x²}.
a. Find the change of basis matrix from the basis B to the basis C.
[id =
b. Find the change of basis matrix from the basis C to the basis B.
[id] =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F415cd6f3-0f7d-47fa-9f1f-e0c2f10f61bd%2F229e6e43-3cf5-4cfd-afb2-a572d28ab405%2F1hs4mxv_processed.png&w=3840&q=75)
Transcribed Image Text:Let P2 be the vector space of polynomials of degree 2 or less. Consider the following two ordered bases of P2:
B
{-2 — х — 2?,, 2+ 2т + 2?, — 5 — За — 2:?\,
{2 – x – x2, 2
2x
x², 1 – 2x – x²}.
a. Find the change of basis matrix from the basis B to the basis C.
[id =
b. Find the change of basis matrix from the basis C to the basis B.
[id] =
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