For the following vectors determine whether or not they are linearly dependent in R 3 . If they are linearly dependent find the nature of dependence....

For the following vectors determine whether or not they are linearly dependent in R 3 . If they are linearly dependent find the nature of dependence. If they are linearly independent, express the vector

b=｛3 2 -1｝

as a linear combination of them

(a) { [4 1 -2], [-3 0 1], [1 -2 1]}

(b) { [2 5 3], [1 1 1], [4 -2 0] }