Mathematics · Linear Algebra
मान लीजिए V वास्तविक गुणांकों वाले सभी बहुपदों (polynomials) का वास्तविक सदिश समष्टि है। मान लीजिए f(x) = x2 + x + 1 है। V का निम्नलिखित में से कौन सा उपसमुच्चय रैखिक रूप से स्वतंत्र (linearly independent) है?
- 1{f(x+1), f(x-1), f(x)}
- 2{f(x), f'(x), 1}✓
- 3{f(x+1) - f(x), f(x) - f(x-1), 1}
- 4{f'(x), f(x) - f(x-1), 1}
सही उत्तर देखें
{f(x), f'(x), 1}
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