Mathematics · Functional Analysis
यदि ||·|| एक सदिश समष्टि (vector space) V पर एक आंतरिक गुणन (inner product) द्वारा उत्पन्न एक मानक (norm) है, तो निम्नलिखित में से कौन सा कथन सत्य है?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1सभी x, y ∈ V के लिए, ||x + y||2 = ||x||2 + ||y||2
- 2सभी x, y ∈ V के लिए, ||x + y||2 + ||x - y||2 = 2||x||2 + 2||y||2✓
- 3सभी x, y ∈ V के लिए, ||x + y||2 = 2||x||2 + 2||y||2
- 4सभी x, y ∈ V के लिए, ||x + y||2 + ||x - y||2 = 2||x||2
सही उत्तर देखें
सभी x, y ∈ V के लिए, ||x + y||2 + ||x - y||2 = 2||x||2 + 2||y||2
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