交大90線性代數考古題

for each fεC[0,1] define L(f) = F, where F(x) = ∫^x f(t) dt 0<= x <= 1. L is a linear transformation from C[0,1] to C[0,1]. Are L(1), L(x), and L(x²) linearly independent? Prove your answer.

想請問一下這個問題要怎麼處理？
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