Answer:
I need help it’s for a test
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Answer with Step-by-step explanation:
We are given that the set of vectors is lineraly dependent set .
We have to prove that the set is linearly dependent .
Linearly dependent vectors : If the vectors
are linearly dependent therefore the linear combination
Then ,there exit a scalar which is not equal to zero .
Let then the vector
will be zero and remaining other vectors are not zero.
Proof:
When are linearly dependent vectors therefore, linear combination of vectors of given set
By definition of linearly dependent vector
There exist a scalar which is not equal to zero.
Suppose then
The linear combination of the set
When
Therefore,the set is linearly dependent because it contain a vector which is zero.
Hence, proved .