Question

11. Determine if, w1 = 2v1 + 3v2 , w2 = v2 + 2 v3 and w3 = − v1 − 3v3 are coplanar.

Answer 1

yes, they are,since they form matrix
|2 3|
|1 2|
|-1 -3|
the dimension of the matrix is at least 1 and at least 2, but the vector is 3, surely, that matrix is dependent linear. there fore, they are coplanar