emely1139
28.07.2021 •
Mathematics
Suppose v1 , v2 , v3 ,v4 are vectors in R3.
(a) These four vectors are dependent because .
(b) The two vectors v1 and v2 will bedependent if .
(c) The vectors v1 and (0, 0, 0) are dependent because .
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Ответ:
a. These four vectors are dependent because there are columns of 3 by 4 matrix with one free variable.
b. If one is a multiple of other
c. c1v1 + c20 = 0 has nontrivial solution.
Step-by-step explanation:
Any set of 4 or more vectors must be linearly dependent. The non trivial combination of vector may produce zero as the set is linearly dependent. The vector v1 and v2 will be dependent if one is the multiple of the other.
Ответ:
the answer is c
Step-by-step explanation: