Mathematics · Linear Algebra

Which of the following is the CORRECT statement about the dimension of a vector space V?

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1The dimension equals the number of elements in the largest linearly independent set minus one
2The dimension equals the number of vectors in any basis of V✓
3The dimension equals the number of vectors in any linearly independent set in V
4The dimension equals the number of vectors in any spanning set of V

Correct answer

The dimension equals the number of vectors in any basis of V

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