Let F be a field, U and V vector spaces above field F and let T:V-->W be a linear transformation.

Prove or disprove the next statements:

1. If v_1, v_2, ... , v_n are vectors in vector space V and they are independent linear, then so T(v_1), ...T(v_n) independent linear.

2. If v_1, v_2, ... , v_n are vectors in vector space V and they are dependent linear, then so T(v_1), ...T(v_n) dependent linear.

I hope you understood my question, eve thou my broken English.

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Thank you!