Mathematics · Linear Algebra
Consider a basis {(1, 1), (1, -1)} of &mathbb{R}2 over &mathbb{R}. Then the dual basis of (&mathbb{R}2) is given by which of the following sets of linear functionals?
- 1{ 2x + 3y2, 2x - 3y2 }
- 2{ 2x + y2, 2x - y2 }
- 3{ x + y2, x - y2 }✓
- 4{ x + 2y2, x - 2y2 }
Correct answer
{ x + y2, x - y2 }
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