Mathematics · Linear Algebra & Matrix Theory
माना M, N ∈ M3(&mathbb;C) इस प्रकार हैं कि सभी 1 ≤ k ≤ 3 के लिए Trace(Mk) = Trace(Nk) है। निम्नलिखित में से कौन सा कथन अनिवार्य रूप से सत्य है?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1M और N के अल्पिष्ठ बहुपद (minimal polynomials) समान हैं
- 2M और N के अभिलाक्षणिक बहुपद (characteristic polynomials) समान हैं✓
- 3M3 = N3
- 4M2 = N2
सही उत्तर देखें
M और N के अभिलाक्षणिक बहुपद (characteristic polynomials) समान हैं
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