Question: ( 8 % ) Given the following three vectors in the linear space V 4 over Z 2 : v 1 = ( [ 0

(8%) Given the following three vectors in the linear space V4 over Z2 : v1=([0,1,1,0]),v2=([1,0,0,1]), and v3=([1,0,1,1]).
(1) Show that vectors v1,v2, and v3 are linearly independent.
(2) Compute all linear combinations of v1,v2, and v3 over Z2. How many distinct vectors among these linear combinations.
(8%) Given the following three vectors in the linear space V4

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