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5th Degree Polynomial Matrix

  • Thread starter Bob Ho
  • Start date
18
0
1. Homework Statement
y=a0+a1x+a2x^2+a3x^3+a4x^4+a5x^5
(a0,a1.....,a5, are fixed real numbers) passes through the points

(-2,21), (-1,7), (0,-10), (1,-8), (2,20), (3,9)

Question: Write down a 6x6 matrix A such that;


... .a0..... .....21
. . .a1..... .....7
. . .a2...... .....-10
A . ..a3.. .= .....-8
. . .a4..... .....20
. .a5..... .....9




3. The Attempt at a Solution

I am unsure how to start this question. Do i substitute the points?

Any assistance would be obliged.
 
Last edited:

Answers and Replies

symbolipoint
Homework Helper
Education Advisor
Gold Member
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You need only very slight linear algebra knowledge to begin.

Your coefficients are the unknowns, and the x and y values are given as the points.
You will have six equations and six unknowns. The column of y values should be the rightmost column in your matrix. Just elementary row operations (if this is not too simple-minded) could take much time. Might you be allowed to use a software?
 

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