Use the given definition to find f(A): If f(x) = a, + a,x + a,x2 + .. + ax" is a polynomial function, then for a square matrix A, f(A) = a,I + a,A + a,A? + .. + aA". f(x) = 2 - 9x + x2, A = -12 f(A) = 9 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 57E
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Use the given definition to find f(A): If f(x) = a, + a,x + a,x
+ ... + an
^ is a polynomial function, then for a square matrix A, f(A) = aI + a,A + a,A?.
+ ... +
2 0
f(x) = 2 - 9x + x2,
A =
4 9
-12
f(A) =
9.
2
Transcribed Image Text:Use the given definition to find f(A): If f(x) = a, + a,x + a,x + ... + an ^ is a polynomial function, then for a square matrix A, f(A) = aI + a,A + a,A?. + ... + 2 0 f(x) = 2 - 9x + x2, A = 4 9 -12 f(A) = 9. 2
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