Consider the linear operator T:R3→R3, given by T(v)=A⋅v, where [image]: What is the minimal polynomial of T? Choose an option: a) mT(x)=x(x−1)2. b) mT(x)=(x−1)2. c) mT(x)=(x+1)(x−1)2. d) mT(x)=(x+1)2. e) mT(x)=(x+1)(x−1).
Consider the linear operator T:R3→R3, given by T(v)=A⋅v, where [image]: What is the minimal polynomial of T? Choose an option: a) mT(x)=x(x−1)2. b) mT(x)=(x−1)2. c) mT(x)=(x+1)(x−1)2. d) mT(x)=(x+1)2. e) mT(x)=(x+1)(x−1).
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
Chapter5: Factoring Polynomials
Section5.4: Multiplying Binomials Mentally
Problem 3MRE
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Consider the linear operator T:R3→R3, given by T(v)=A⋅v, where [image]:
What is the minimal polynomial of T?
Choose an option:
a) mT(x)=x(x−1)2.
b) mT(x)=(x−1)2.
c) mT(x)=(x+1)(x−1)2.
d) mT(x)=(x+1)2.
e) mT(x)=(x+1)(x−1).
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