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H(a1,…,an)={(x1,…,xn)∈Fn : a1x1+⋯+anxn=0} Consider the special case of H(1,2,3)⊂R3 defined as above for (a1,a2,a3)=(1,2,3)∈R3. Find a...

H(a1,…,an)={(x1,…,xn)∈Fn : a1x1+⋯+anxn=0}

Consider the special case of H(1,2,3)⊂R3 defined as above for (a1,a2,a3)=(1,2,3)∈R3. Find a basis for H(1,2,3) and state the dimension of H(1,2,3).

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