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# We studied two definitions of linearly dependence in class: (1) a set of k vectors are linearly dependent if one of them can be written as linear combination of the...

## Question

###### We studied two definitions of linearly dependence in class: (1) a set of k vectors are linearly dependent if one of them can be written as linear combination of the remaining k 1 vectors. (2) a set of k vectors are linearly dependent if zero vector be written as a linear combination of these k vectors. Prove that the two definitions are equivalent:

We studied two definitions of linearly dependence in class: (1) a set of k vectors are linearly dependent if one of them can be written as linear combination of the remaining k 1 vectors. (2) a set of k vectors are linearly dependent if zero vector be written as a linear combination of these k vectors. Prove that the two definitions are equivalent:

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