Are these columns of the matrix A=4O Linearly IndependentLinearly Dependent[2 4 -14]3 -13 linearly independent?3 -5 12If not, find a dependence relation between the vectors. Enter the weights for the columns (you may enterfractions if necessary) or enter DNE (in each box) if such weights do not exist.a1 +a2 +a3 = 0 11 19,k>. What value of22 2k will cause the set {ū, v, w} to be linearly dependent? You may submit your answer as a fraction, ifnecessary. (The use of a computer algebra system may be used to reduce any matrices involved.)makes the set linearly dependent.Consider the vectors u =< -10, 6, −1 >, v =< −3,8,1 >, and w =<-k =

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k>. What value of Consider the vectors u =< −10, 6, −1 >, 7 =< −3,8,1 >, and ŵ =< k will cause the set {u, v, w} to be linearly dependent? You may submit your answer as a fraction, if necessary. (The use of a computer algebra system may be used to reduce any matrices involved.) makes the set linearly dependent. 11 19 2 2 2 k =