Previous answers holtlinalg1 41011 determine if the

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5.1/1 points | Previous AnswersHoltLinAlg1 4.1.011.Determine if the described set is a subspace. Assume a, b, and care real numbers.The subset of consisting of vectors of the form where If so, give a proof. If not, explain why not.not closed under scalar multiplicationR3,abca0, b0, and cThe set is a subspace.The set is not a subspace.
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6.1/1 points | Previous AnswersHoltLinAlg1 4.1.012.Determine if the described set is a subspace. Assume a, b, and care real numbers.The subset of consisting of vectors of the form where at most one of a, b, and cisnonzero.If so, give a proof. If not, explain why not.0 is not in thereKey:Answers will vary.Score: 0 out of 0Comment:Solution or ExplanationNot a subspace. Let and Then uand vare in the subset, but isnot.R3,abcThe set is a subspace.The set is not a subspace. u= 100v= .010u+ v= 110
7.1/1 points | Previous AnswersHoltLinAlg1 4.1.016.Determine if the described set is a subspace.The subset of (neven) consisting of vectors of the formsuch that If so, give a proof. If not, explain why not.
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8.2/2 points | Previous AnswersHoltLinAlg1 4.1.024.Find the null space for A10-41[10; -4; 1]A= 1220 14null(A) = span.
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9.2/2 points | Previous AnswersHoltLinAlg1 4.1.027.Find the null space for A.
2/2 points | Previous AnswersHoltLinAlg1 4.1.028.Find the null space for A51[5; 1]A= 21031515null(A) = span.
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