First we check if system {v1,v2,v3} is linearly independent.
⎝⎛32−1−2−11−2−21⎠⎞=R1−R2+R3⎝⎛02−10−111−21⎠⎞=R2+2R3⎝⎛00−1011101⎠⎞=R3→−R3,R3+R1+R2=⎝⎛001010100⎠⎞
Thus, space of linear combinations of v1,v2,v3 includes all vectors of R3, so h can take on any value.
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