Mathematics · Linear Algebra
मान लीजिए कि V, ℝ पर विमा 3 का एक सदिश समष्टि (vector space) है। मान लीजिए T : V → V एक रैखिक रूपांतरण (linear transformation) है, जो V के क्रमित आधार (ordered basis) {v1, v2, v3} के संबंध में आव्यूह A = 1 -1 01 -4 3 -2 5 -3 द्वारा दिया गया है। तो निम्नलिखित में से कौन सा कथन सत्य है?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1T(v3) = 0
- 2T(v1 + v2) = 0
- 3T(v1 + v2 + v3) = 0✓
- 4T(v1 + v3) = T(v2)
सही उत्तर देखें
T(v1 + v2 + v3) = 0
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