Mathematics · Linear Algebra
Let V be a finite-dimensional vector space with basis {x1, x2, x3}. Select the set from the following options which also forms a basis of V.
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1{x1 + x2 + x3, x2 + x3, x3}✓
- 2{x1, x2, x3} are linearly dependent
- 3{x1, x2, x1 + x2}
- 4{x1 - x2, x2 - x3, x1 - x3}
Correct answer
{x1 + x2 + x3, x2 + x3, x3}
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