題組內容

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.