Mathematics · Linear Algebra
Let S: &R;4 → &R;5 and T: &R;5 → &R;4 be linear transformations such that T ∧ S is the identity map of &R;4. Then:
- 1S ∧ T is neither one-to-one nor onto✓
- 2S ∧ T is onto but not one-to-one
- 3S ∧ T is one-to-one but not onto
- 4S ∧ T is the identity map of &R;5
Correct answer
S ∧ T is neither one-to-one nor onto
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