Mathematics · Linear Algebra
मान लीजिए A एक n × n आव्यूह (matrix) है, जिसके सभी गैर-शून्य अभिलक्षणिक मानों (nonzero eigenvalues) के समुच्चय में ठीक r अवयव हैं। निम्नलिखित में से कौन सा कथन सत्य है?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1A 2 के r विशिष्ट गैर-शून्य अभिलक्षणिक मान हैं
- 2rank A ≥ r✓
- 3यदि r = 0, तो rank A < n - 1
- 4rank A ≤ r
सही उत्तर देखें
rank A ≥ r
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