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Prove that if p(t) = (t )3 and dim N(A I) = 1, then we must have N(A I) C(A I). (Hint
Chapter 7, Problem 6(choose chapter or problem)
QUESTION:
Prove that if p(t) = (t )3 and dim N(A I) = 1, then we must have N(A I) C(A I). (Hint: If N(A I) C(A I) = {0}, use the twodimensional case already proved to deduce that dim N(A I) 2.)
Questions & Answers
QUESTION:
Prove that if p(t) = (t )3 and dim N(A I) = 1, then we must have N(A I) C(A I). (Hint: If N(A I) C(A I) = {0}, use the twodimensional case already proved to deduce that dim N(A I) 2.)
ANSWER:Step 1 of 2
It is given that,
And,
To prove that,
