(a) Define v1, v2 R by vi (2,1,1,0), 2 - (1, 2, 1, 1). Extend the...

   

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(a) Define v1, v2 R by vi (2,1,1,0), 2 - (1, 2, 1, 1). Extend the - linearly independent set (v1, v2) to a basis of R4. (b) Let W be the subspace of R4 spanned by S = {w, w2, w3, w4}, where Wi = (2,1,-1,1) W2 = (1,0,1,0) W3 = (0,1,1,1) 104 = (1,1,0,1). Find a basis of W contained in S. (a) Define v1, v2 R by vi (2,1,1,0), 2 - (1, 2, 1, 1). Extend the - linearly independent set (v1, v2) to a basis of R4. (b) Let W be the subspace of R4 spanned by S = {w, w2, w3, w4}, where Wi = (2,1,-1,1) W2 = (1,0,1,0) W3 = (0,1,1,1) 104 = (1,1,0,1). Find a basis of W contained in S.