14. The following vectors are the translation vector T and the spanning vectors X1 and X2, obtained by Gaussian elimination to solve a linear system of three equations in variables r, y, z, and w. T = X1 X2 (a) Which are the free variables? How can you tell?

1. Determine if these vectors are linearly independent or linearly dependent. If they are linearly independent show this. If they are linearly dependent, write a nontrivial linear combination (at least some coefficients need to be nonzero) of them being equal to 0. {4.0-6)}

2.1 #5 Answer question in the picture

1 4. Consider the vectors v1 , Ú2 , U3 1 -2 1 Are they linearly independent? If not either: (a) Find a linear dependence relation among them. or: (b) Express one of the vectors as a linear combination of the others.