ao + a1x1 + Solve the following linear system ao + a1x0 + m-1 +am-1x0 + amxm m-1 = + am-1x1 + amxm = f(xo), f(x1), ... ... ... m-1 20 + 21x + + am-1xn + amxn = m f(xn), to obtain the interpolating polynomial Pm(x)=a0a1x+ m-1 + am-1xm + amxm Is the linear system above guaranteed to have a solution when m < n?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.8: Linear And Quadratic Functions
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ao + a1x1 +
Solve the following linear system
ao + a1x0 +
m-1
+am-1x0 + amxm
m-1
=
+ am-1x1
+ amxm
=
f(xo),
f(x1),
...
...
...
m-1
20 + 21x +
+ am-1xn
+ amxn =
m
f(xn),
to obtain the interpolating polynomial
Pm(x)=a0a1x+
m-1
+ am-1xm + amxm
Is the linear system above guaranteed to have a solution when m < n?
Transcribed Image Text:ao + a1x1 + Solve the following linear system ao + a1x0 + m-1 +am-1x0 + amxm m-1 = + am-1x1 + amxm = f(xo), f(x1), ... ... ... m-1 20 + 21x + + am-1xn + amxn = m f(xn), to obtain the interpolating polynomial Pm(x)=a0a1x+ m-1 + am-1xm + amxm Is the linear system above guaranteed to have a solution when m < n?
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