Use the given definition to find f(A): If f(x) = ao + a¡x + a2x2 + •* + anx" is a polynomial function, then for a square matrix A, f(A) = aoI + a¡A + a¿A² + ... + anA". 2 0 f(x) = 2 – 6x + x2, 4 6 f(A) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.5: Systems Of Linear Equations In More Than Two Variables
Problem 44E
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Use the given definition to find f(A): If f(x)
A, f(A) = aoI + a¡A + a¿A² +
ao + a1x + a2x² +
+ anxn is a polynomial function, then for a square matrix
•..
+ anA".
...
2 0
f(x) = 2 – 6x + x²,
A =
4
f(A) =
Transcribed Image Text:Use the given definition to find f(A): If f(x) A, f(A) = aoI + a¡A + a¿A² + ao + a1x + a2x² + + anxn is a polynomial function, then for a square matrix •.. + anA". ... 2 0 f(x) = 2 – 6x + x², A = 4 f(A) =
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