Mathematics · Linear Algebra
एक चर x के लिए, वास्तविक सदिश समष्टि (real vector space) V = {ax3 + bx2 + cx + d | a, b, c, d ∈ ℝ} पर विचार कीजिए। माना D: V → V एक रैखिक रूपांतरण (linear transformation) है जहाँ D(f), f का x के सापेक्ष अवकलज है, और M: V → V एक रैखिक रूपांतरण है जो M(f) = xD(f) द्वारा परिभाषित है। निम्नलिखित में से कौन सा कथन सत्य है?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1rank(DM) > rank(MD)
- 2DM व्युत्क्रमणीय (invertible) है
- 3D + M व्युत्क्रमणीय (invertible) है
- 4DM ≠ MD✓
सही उत्तर देखें
DM ≠ MD
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