Mathematics · Linear Algebra
Consider the field 𝔽3 consisting of 3 elements. Let V be an 𝔽3-vector space of dimension 3 and W an 𝔽3-vector space of dimension 2. Which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1The number of linear transformations from V to W is 35.
- 2The number of one-dimensional subspaces of V is 13.✓
- 3The number of surjective linear transformations from V to W is 234.
- 4The number of two-dimensional subspaces of V is 26.
Correct answer
The number of one-dimensional subspaces of V is 13.
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