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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
Akash Babu posted an Question
September 30, 2022 • 12:24 pm
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30 points
30 points
- CSIR NET
- Mathematical Sciences
13. a linear operator ton a complex vector space v has characteristics polynomial x(x-5) and minimal polynomial x(x-5). choose all correct options: the jordan f
13. A linear operator Ton a complex vector space V has characteristics polynomial x(x-5) and minimal polynomial x(x-5). Choose all correct options: The Jordan form of T is uniquely (a) determined by the given information There are exactly 2 Jordan blocks in the Jordan decomposition of T b) (c) The operator induced by T on the quotient space v/Ker(T- 5/) is nilpotent, where I is the identity operator d) The operator induced by T on the quotient space V/Ker (T) is a scalar multiple of the identity operator June 2013 (4.75 Marks)]
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Anonymous User Best Answer
Check the answer Option (a,c) is correct