Let T : F" → F" be the linear transformation sending the vector (x1,..., xn) to (xn, X1, x2, . .. , xn-1). Its minimal polynomial is (a) x . (b) x" - nx (с) х^ - x (d) х^ — 1 (е) х" + 1

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter6: Linear Transformations
Section6.CR: Review Exercises
Problem 21CR: Let T be a linear transformation from R2 into R2 such that T(4,2)=(2,2) and T(3,3)=(3,3). Find...
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8. Let T : F"n → F" be the linear transformation sending the vector (x1, ..., xn) to (xn, x1, X2, ·..,
Its minimal polynomial is
, Xn-1).
(а) 22
(b)
(c) х^
- x
(d) x"
1
(е) х" + 1
Transcribed Image Text:8. Let T : F"n → F" be the linear transformation sending the vector (x1, ..., xn) to (xn, x1, X2, ·.., Its minimal polynomial is , Xn-1). (а) 22 (b) (c) х^ - x (d) x" 1 (е) х" + 1
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