Suppose V is finite-dimensional and v1; : : : ; vm 2 V. Define a linear map W V 0 ! Fm by .'/ D '.v1/; : : : ; '.vm/ : (a) Prove that v1; : : : ; vm spans V if and only if is injective. (b) Prove that - QAmmunity.org

Suppose V is finite-dimensional and v1; : : : ; vm 2 V. Define a linear map W V 0 ! Fm by .'/ D '.v1/; : : : ; '.vm/ : (a) Prove that v1; : : : ; vm spans V if and only if is injective. (b) Prove that

asked Dec 27, 2020 195k views

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