沒有 【段考】國二英文上學期 權限，請先開通．

複選題Which of the following is a linear operator?(A) T : R→R where T(x) = 40 + 3 for any I E R.(B) T:T2→R2 where for any vector x∈ R2?.(C) T : P →P where T(f(x)) = f(x)(x2 + 1) for any polynomial f(x) ∈ P.(D) T : where T(f(x)) = f'(x)+ f(x) for any differentiable functionf(x) ∈ C(R).(E) None of the above.

複選題Which of the following are correct?(A) The system defined by F(x,y)=(x2, x) is linear.(B) The system defined by F(x,y)=(dx/dt, x) is linear.(C) A and B are m x n matrices. If Aw = Bw for all w in , then A = B.(D) The columns of matrix A contains zero vector. If Ax=b have solution, it will have Infinite solutions.(E) The zero vector of R" is within the span of any finite subset of .

複選題Which of the following transformations are not linear?(A) S: the map in R3 which rotates points about the x1-axis by an angle π/2.(B) (C) (D) T(ax2+bx+c)-(a+b)x+(b+c)(E)

複選題109中山電機Consider the lincar mapping L: V→W. Let Ov and Ow be the zero vectors in V and W, respectively. Which of the following statements are true? (A) The condition L(v1) = L(v2) implies v = V2. (B) For any w W, there exists v  V such that L(v) = w. (C) If L is onc-to-one, then L(v) = 0w implies v = 0v. (D) Ifv1,v2, , Vk are linearly independent, L(v1), L(v2), ...,L(vk) are also linearly independent. (E)The condition c1v1+c2v2+ckvk=0vimplies c1L(v1)+c2L(v2)+⋯+ckL(vk)=0w.

沒有 【段考】國二英文上學期 權限，請先開通．

沒有 【段考】國二英文上學期 權限，請先開通．

沒有 【段考】國二英文上學期 權限，請先開通．

沒有 【段考】國二英文上學期 權限，請先開通．

沒有 【段考】國二英文上學期 權限，請先開通．

沒有 【段考】國二英文上學期 權限，請先開通．