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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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.
Transcribed Image 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.
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