Q.8 Which of the following is/are true? If {,...} is a linearly independent set of vectors...
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Q.8 Which of the following is/are true? If {₁,...} is a linearly independent set of vectors and a, a, a, are any scalars, then the set a-1-a-a} is also linearly independenet If {₁,...,} is a linearly independent set of vectors and a₁. aa are any scalars, then the set - ₂₂-1-an-10} need not to be linearly independenet. ***** "Let V = R³ (R) and S = {a₁ = (1.1.0).a₂ = (0.-1.1) a3 = (1,0.1)}. Then (a,b,c)=L(S) iff a=b+c None of these Q.8 Which of the following is/are true? If {₁,...} is a linearly independent set of vectors and a, a, a, are any scalars, then the set a-1-a-a} is also linearly independenet If {₁,...,} is a linearly independent set of vectors and a₁. aa are any scalars, then the set - ₂₂-1-an-10} need not to be linearly independenet. ***** "Let V = R³ (R) and S = {a₁ = (1.1.0).a₂ = (0.-1.1) a3 = (1,0.1)}. Then (a,b,c)=L(S) iff a=b+c None of these
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