Find a constant a {\displaystyle a} so that the following set of vectors is linearly dependent:
{ [ a , 0 , 1 ] , [ 1 , 2 , 1 ] , [ 4 , 1 , 3 ] } . {\displaystyle \{[a,0,1],[1,2,1],[4,1,3]\}.}
![{\displaystyle \{[a,0,1],[1,2,1],[4,1,3]\}.}](https://wiki.ubc.ca/api/rest_v1/media/math/render/svg/15c4e90a5aba6fea355534bb6dbcbced2850ebf1)