2. Let U = {a + bx + cx2 + d³ e P3 (R) | a- 6+d3D0}, and let W = {a + bx + ca? + dx³ e P3(R)| a + 2c – d = 0}. 2(a) Find a finite subset S of P3(R) such that span S = U +W.
2. Let U = {a + bx + cx2 + d³ e P3 (R) | a- 6+d3D0}, and let W = {a + bx + ca? + dx³ e P3(R)| a + 2c – d = 0}. 2(a) Find a finite subset S of P3(R) such that span S = U +W.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 20EQ
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![2. Let U = {a + bx + cx2
+ d³ e P3 (R) | a- 6+d3D0}, and let W = {a + bx + ca? + dx³ e P3(R)| a + 2c – d = 0}.
2(a) Find a finite subset S of P3(R) such that span S = U +W.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbea2a903-864b-44da-915f-4d3ef2476ba0%2Fbcf088ef-ca40-4180-990e-f6d124167dd9%2Fp972s0c.jpeg&w=3840&q=75)
Transcribed Image Text:2. Let U = {a + bx + cx2
+ d³ e P3 (R) | a- 6+d3D0}, and let W = {a + bx + ca? + dx³ e P3(R)| a + 2c – d = 0}.
2(a) Find a finite subset S of P3(R) such that span S = U +W.
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