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In: Advanced Math

Let X = [1, 0, 2, 0]tand Y = [1, −1, 0, 2]t. (a) Find a...

Let X = [1, 0, 2, 0]tand Y = [1, −1, 0, 2]t.
(a) Find a system of two equations in four unknowns whose solution set is spanned by X and Y.
(b) Find a system of three equations in four unknowns whose solution set is spanned by X and Y.
(c) 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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