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• 【題組】3. DFT matrix is an unitary matrix.
• 【題組】4.The DFT is a linear transform.
• 【題組】5. The orthogonality is not the property of the DFT matrix.
• II. The four eigenvalue of a 4x4 matrix A are 1, 1, 2, and 3. Please determine thecorrectness of the
• 【題組】7. The trace of A is 7.
• 【題組】8. The rank(A-1)=3, where I is the 4x4 identity matrix.
• 【題組】9. The determinant of the adjoint matrix At is 6.
• 【題組】10. The matrix A is a simple matrix.
• III. If matrix A and matrix B are row equivalent. Please determine the correctness of thefollowing d
• 【題組】12. The column space of A is equal to the column space of B.
• 【題組】13. The null space of A is equal to the null space of B.
• 【題組】14. The rank(A) is equal to the rank(B).
• 【題組】15. The determinant of A is equal to the determinant of B.
• (b) If the graph has 72 edges, what is m?
• IV. Please read the following True/False questions and determine the correctness of cachdescription.
• 5. 坐標空間中一質點自點 P(1,1,1) 沿著方向 = (1,2,2) 等速直線前進，經過 5 秒後剛好到達平面 x-y+3z=28上，立即轉向並沿著方向 =(-2,2,-1)  依同樣的速率等
• 8. Show the Hufinan tree created from the following nodes arranged in a priority queue.
• 33-36為題組 閱讀下文，回答問題。        隨著蔣勳低沉的嗓音，楊牧、黃春明、陳育虹等詩人一行行描繪島嶼的文字，緩緩地在空白的投影背幕中浮現，如長軸畫般悠悠捲動。影像中因排版所產生的字句間距
• 【題組】36. 文中認為在林懷民舞作中，舞者身體與布景文字間的映照關係，呈現三階段轉變，各有其代表作品。請統整文本內容，依階段順序填寫A、B、C的答案，完成下列圖表（作答字數：A、C各24字以內。共1
• 【題組】17. If A is a 3x3 matrix such that the system Ax = 0 has only the trivial solution, then the equ
• 9. For any input of size n and assuming that ki denotes the maximum number of digits and Iz the numb
• 7. Consider a computer with a data cache which has 16KB data and 16-Byte blocks. Amain memory has 20
• 【題組】18. If P and D are nxn matrices, then det = det(D).
• 10. The Ackermann function A(m, n) is defined recursively for non-negative integers m and n as follo
• 9. For a, b,n ∈ Z⁺ and n ＞ 1, prove that a ≡ b (mod n) gcd(a,n) = gcd(b,n).