1. Let x1 = (-2, -1, -4, -1), x2 = (-1,-1, -1, -1), x3 = (1, 1, 1,0), x4 = (1,2, –1,1). (a) By considering the row echelon form of an appropriate matrix, determine if {x1, X2, X3, X4} are linearly independent, or are linearly dependent. (b) Use your working in (a) to express x1 in terms of the other vectors. (c) Use your working in (a) to show that {x1, x3, X4} are linearly independent.

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