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
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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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F06920a68-cf38-4293-b041-aa19a7c49e36%2F360ea67c-fe5b-4a69-8422-acd9e6242104%2Fhcwfuaj_processed.jpeg&w=3840&q=75)
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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