Question: Find a basis for the space V of all sequences (xn) satisfying xn+2 = -xn. by the expansion theorem (Theorem 6 5.3). Thus T is

Find a basis for the space V of all sequences (xn) satisfying xn+2 = -xn. by the expansion theorem (Theorem 6 §5.3). Thus T is linear because (X + Y) • Ei = X • Ei + Y • Ei and (rX) • Ei = r(X • Ei) for each i.

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