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1. Let X = [1,2,1]^t...

1. Let X = [1,2,1]^t and Y = [1,0,-3]^ta) Find an equation in three unknowns whose solution space is the sub-space of R^3 spanned by X and Y.b) Find a system of three equations in three unknowns whose solution is the subspace of R^3 spanned by X and Yc) Find a system of three equations in three unknowns that has the set of vectors of the form Z + aX + bY as its general solution, where Z = [1,1,1]^t2. Let X = [1,0,2,0]^t and Y = [1,-1,0,2]^ta) Find a system of two equations in four unknowns whose solution set is spanned by X and Yb) Find a system of three equations in four unknowns whose solution set is spanned by X and Yc) Find a system of four equations in four unknowns that has the set of vectors of the form Z + aX + bY as its general solution, where Z = [1,1,1,1]^t

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