Answer with Step-by-step explanation:
We are given that the set of vectors is lineraly dependent set .
 is lineraly dependent set .
We have to prove that the set  is linearly dependent .
 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
 then the vector  will be zero and remaining  other vectors are not zero.
 will be zero and remaining  other vectors are not zero.
Proof:
When  are linearly dependent vectors therefore, linear combination of vectors of given set
 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
 then  
The linear combination of the set 

When 
Therefore,the set  is linearly dependent because it contain a vector which is zero.
 is linearly dependent because it contain a vector which is zero.
Hence, proved .