} 4. You are given that B = {1– 2x + x?, x+ x?, 2 +x – a?} is a basis for P2. (i) Find the coordinate vector of the polynomial p(x) = 12 – 3x – 7x2 with respect to the basis B. 4 (ii) Find q(x) if [q(x)]B= 7
} 4. You are given that B = {1– 2x + x?, x+ x?, 2 +x – a?} is a basis for P2. (i) Find the coordinate vector of the polynomial p(x) = 12 – 3x – 7x2 with respect to the basis B. 4 (ii) Find q(x) if [q(x)]B= 7
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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![: 4. You are given that B = {1– 2x + a², x + a², 2 +x – x²} is a basis for P2.
(i) Find the coordinate vector of the polynomial p(x) = 12 – 3x – 7x2
with respect to the basis B.
4
(ii) Find q(x) if [q(x)]g= | 5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F53ca7829-60c0-4dfd-bc48-1a22de57999e%2F3358e67a-00e5-4698-ac34-561aeb7c4469%2Fod41pge_processed.jpeg&w=3840&q=75)
Transcribed Image Text:: 4. You are given that B = {1– 2x + a², x + a², 2 +x – x²} is a basis for P2.
(i) Find the coordinate vector of the polynomial p(x) = 12 – 3x – 7x2
with respect to the basis B.
4
(ii) Find q(x) if [q(x)]g= | 5
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