Let u1, U2, U3, and U4 be vectors in R3, and let W = span{u1, u2, U3 , U4 }. Row reduction is performed to obtain the following: 1 3 U1 U2 Uz U4 1 -2 Choose all of the following statements that must...


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Let u1, U2, U3, and U4 be vectors in R3, and let W<br>= span{u1, u2, U3 , U4 }. Row reduction is performed<br>to obtain the following:<br>1<br>3<br>U1<br>U2<br>Uz<br>U4<br>1<br>-2<br>Choose all of the following statements that must be true. Please note that more than one answer may be<br>correct.<br>O {u1, uz } is a basis for W.<br>O dim W = 2.<br>U {u1, U2, U3 , U4 } is linearly independent.<br>O {(1,0,0), (3, 1, 0)} is a basis for W.<br>O W contains 2 vectors.<br>

Extracted text: Let u1, U2, U3, and U4 be vectors in R3, and let W = span{u1, u2, U3 , U4 }. Row reduction is performed to obtain the following: 1 3 U1 U2 Uz U4 1 -2 Choose all of the following statements that must be true. Please note that more than one answer may be correct. O {u1, uz } is a basis for W. O dim W = 2. U {u1, U2, U3 , U4 } is linearly independent. O {(1,0,0), (3, 1, 0)} is a basis for W. O W contains 2 vectors.

Jun 04, 2022
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