Consider the subspace W = {(a, b, c) : a + 2b+ 3c = 0} of R³. Choose all of the following statements that are true. Please keep in mind that more than one answer may be correct. O {(2, 1, 1), (3, 1,...


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Consider the subspace W = {(a, b, c) : a + 2b+ 3c = 0} of R³. Choose all of the following statements<br>that are true. Please keep in mind that more than one answer may be correct.<br>O {(2, 1, 1), (3, 1, 1)} is a basis for W.<br>O dim W<br>3<br>O {(1, 2, 3)}is a basis for W.<br>O dim W<br>= 2<br>O {(-2, 1, 0), (-3,0, 1)} is a basis for W.<br>

Extracted text: Consider the subspace W = {(a, b, c) : a + 2b+ 3c = 0} of R³. Choose all of the following statements that are true. Please keep in mind that more than one answer may be correct. O {(2, 1, 1), (3, 1, 1)} is a basis for W. O dim W 3 O {(1, 2, 3)}is a basis for W. O dim W = 2 O {(-2, 1, 0), (-3,0, 1)} is a basis for W.

Jun 04, 2022
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