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Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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here only one option is correct, however, if there are more of them, let me know please. thank you

Mark only correct statements. O a. Let T:V→V be a linear operator on a finite dimensional vector space. Then R(T) + N(T) V implies that R(T) = R(T²). O b. The matrix O d. OC. Let T: V→V 000 001 000 The matrix is not a normal Jordan form. be a linear operator on a finite dimensional vector space. Then R(T) = R(T2) implies that R(T) + N(T) = V. 100 0 01 is its normal Jordan form. 001 O e. There is a nilpotent matrix with the eigenvalue 1.
Transcribed Image Text:Mark only correct statements. O a. Let T:V→V be a linear operator on a finite dimensional vector space. Then R(T) + N(T) V implies that R(T) = R(T²). O b. The matrix O d. OC. Let T: V→V 000 001 000 The matrix is not a normal Jordan form. be a linear operator on a finite dimensional vector space. Then R(T) = R(T2) implies that R(T) + N(T) = V. 100 0 01 is its normal Jordan form. 001 O e. There is a nilpotent matrix with the eigenvalue 1.
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