Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Which of the following are axioms of a vector space V? (Select all that are correct.)
1x = x
If k, and k, are scalars, then k, + k, is in V.
There is more than one vector 0 in V such that o +x = x+0 = x
For each x in V, there exists a vector -x such that
x+(-х) %3D (-х) + x %3D0-
If x and y are in V, then x + y is in V.
If y is any vector and x is in V, then vy is in V.
ух
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Transcribed Image Text:Which of the following are axioms of a vector space V? (Select all that are correct.) 1x = x If k, and k, are scalars, then k, + k, is in V. There is more than one vector 0 in V such that o +x = x+0 = x For each x in V, there exists a vector -x such that x+(-х) %3D (-х) + x %3D0- If x and y are in V, then x + y is in V. If y is any vector and x is in V, then vy is in V. ух
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