Mathematics · Linear Algebra
मान लीजिए T : &complex;n → &complex;n एक रैखिक रूपांतरण (linear transformation) है, जहाँ n ≥ 2 है। मान लीजिए 1, T का एकमात्र आइगेनमान (eigenvalue) है। निम्नलिखित में से कौन सा कथन हमेशा सत्य है?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1(T - I)n+1 ≠ 0
- 2(T - I)n = 0✓
- 3(T - I)n-1 = 0
- 4किसी भी k ∈ ℕ के लिए Tk ≠ I
सही उत्तर देखें
(T - I)n = 0
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