Mathematics · Linear Algebra
Let V be a finite-dimensional vector space over a field F and let T: V → V be a linear transformation. Choose the INCORRECT statement regarding the dual space V and the dual map T: V → V.
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1If T is injective, then T is surjective.
- 2T is always a linear transformation.
- 3The kernel of T consists of all functionals that are zero on the image of T.
- 4If T is surjective, then T is surjective.✓
Correct answer
If T is surjective, then T is surjective.
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