()^2 依個operator 就係一個簡單唔係linear operator o既好例子喇:
( f(x) + g(x) )^2 not equal to (f(x))^2 + (g(x))^2
甘有無一個簡單而又係linear operator o既例子呀?
最好唔好用埋d同calculus有關o既operator做例子,如果唔係我好易唔明
[15分]請問有無d簡單o既linear operator例子呀?
2007-10-13 9:23 pm
回答 (1)
2007-10-14 7:01 am
✔ 最佳答案
最簡單既咪係 + ..雖然我唔知你點解問呢個問題,
不過一般黎講, 要proof linear (a function, a polynomial, a map etc)
都只係proof佢地係closed under addition同closed under scalar multiplication
2007-10-13 23:04:09 補充：
sorry, polynomial一定係linear, 唔使proof
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