Mathematics · Linear Algebra
मान लीजिए A एक 4 × 4 वास्तविक आव्यूह (real matrix) है जिसका न्यूनतम बहुपद (minimal polynomial) x2 + x + 1 है और मान लीजिए B = A + I4 है, जहाँ I4 एक 4 × 4 तत्समक आव्यूह (identity matrix) है। निम्नलिखित में से कौन सा कथन अनिवार्य रूप से सत्य है?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1B 3 + I 4 = 0
- 2B 3 = I 4
- 3B का न्यूनतम बहुपद x 2 - x + 1 है✓
- 4B का न्यूनतम बहुपद x 2 + x + 1 है
सही उत्तर देखें
B का न्यूनतम बहुपद x 2 - x + 1 है
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