Suppose the four 51-vectors V1, V2, V3, V4 are all nonzero, and that 2v1 + 4v3 + 2v4 = 0. Which of the following are possible numbers of nonzero vectors that lie in an orthogonal basis for span(v1, V2, V3, V4), obtained via the Gram-Schmidt process? [Select all options that are possible with the information given.] three two zero one four

Advanced Engineering Mathematics
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Suppose the four 51-vectors v1, V2, V3, V4 are all nonzero, and that
2v1 + 4v3 + 2v4 = 0.
Which of the following are possible numbers of nonzero vectors that lie in an
orthogonal basis for span(v1, V2, V3, V4), obtained via the Gram-Schmidt
process?
[Select all options that are possible with the information given.]
three
two
zero
one
four
Transcribed Image Text:Suppose the four 51-vectors v1, V2, V3, V4 are all nonzero, and that 2v1 + 4v3 + 2v4 = 0. Which of the following are possible numbers of nonzero vectors that lie in an orthogonal basis for span(v1, V2, V3, V4), obtained via the Gram-Schmidt process? [Select all options that are possible with the information given.] three two zero one four
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