Q2. Consider the subspace W of R spanned by the vectors: 37 wi = 1 W2 = -5 , W3 = 11, W4 4 1. Are the vectors w1, w2, w3, wa linearly independent? If they are not, find a largest independent subset of...

Extracted text: Q2. Consider the subspace W of R spanned by the vectors: 37 wi = 1 W2 = -5 , W3 = 11, W4 4 1. Are the vectors w1, w2, w3, wa linearly independent? If they are not, find a largest independent subset of these vectors, i.e. find a basis for W. 2. Find dim(W). 3. Is the vector u = E W? If yes, write u as a linear combination of the basis you found in (1). If not, justify.