The objective of this problem is to write a polynomial p(x) = a + bx + cx2 in the form of p(x) = k1 +k2(1−x)+k3(1−2x)(1−3x). (a) Describe how would you construct a matrix for this purpose. Use E = {1, x, x2}. (b) Write p1(x) = 1 − 2x + 3x^2 in the desired form. (c) Write p2(x) = 3 + 2x − 5x2 in the desired form.
The objective of this problem is to write a polynomial p(x) = a + bx + cx2 in the form of p(x) = k1 +k2(1−x)+k3(1−2x)(1−3x). (a) Describe how would you construct a matrix for this purpose. Use E = {1, x, x2}. (b) Write p1(x) = 1 − 2x + 3x^2 in the desired form. (c) Write p2(x) = 3 + 2x − 5x2 in the desired form.
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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The objective of this problem is to write a polynomial p(x) = a + bx + cx2 in the form of p(x) = k1 +k2(1−x)+k3(1−2x)(1−3x).
(a) Describe how would you construct a matrix for this purpose. Use E = {1, x, x2}.
(b) Write p1(x) = 1 − 2x + 3x^2 in the desired form.
(c) Write p2(x) = 3 + 2x − 5x2 in the desired form.
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