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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 64E
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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.
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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