[0] [1] 2 and y = 1 1 ,f = ,f3 , and let x = 1 2 Let fi 3 4 Show that {f1, f2, f3} is an orthogonal set, and that {f1, f2, f3, x} is 1.1 linearly independent. Apply the Gram-Schmidt algorithm to the set {f1,f2, f3, x} to find 1.2 a vector f4 so that {f1, f2, f3, f4} is orthogonal. You must use the Gram-Schmidt algorithm to determine f4 to get any points for this or the next problem. Find a, b, c, d e R so that y = af + bf2 + cf3 + df4. 1.3

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