申論題 - 阿摩線上測驗

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試卷：無年度 - 主題課程_線性映射：基底變換和座標變換#107933
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1. True or False (25%. 5 pts each) For each of the statements that follows, answer true if the statement is always true and false otherwise.

(b) Let L : R²→ R² be a linear operator, and let A be the standard matrix representation of L. If L² is defned by

L²(x) = L(L(x)) for all x

R²then L² is a linear operator and its standard matrix representation is A².