Mathematics · Linear Algebra
मान लीजिए T : ℝ4 → ℝ4 एक रैखिक रूपांतरण (linear transformation) है और T का शून्य समष्टि (null space) ℝ4 का उपसमष्टि है जो { (x1, x2, x3, x4) ∈ ℝ4 : 4x1 + 3x2 + 2x3 + x4 = 0 } द्वारा दिया गया है।
यदि Rank(T - 3I) = 3 है, जहाँ I, ℝ4 पर तत्समक मानचित्र (identity map) है, तो T का अल्पतम बहुपद (minimal polynomial) क्या है?
यदि Rank(T - 3I) = 3 है, जहाँ I, ℝ4 पर तत्समक मानचित्र (identity map) है, तो T का अल्पतम बहुपद (minimal polynomial) क्या है?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1x 2 (x - 3) 2
- 2x 3 (x - 3)
- 3x(x - 3) 3
- 4x(x - 3)✓
सही उत्तर देखें
x(x - 3)
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