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Q1. Consider these four points: P [,,5| , P2 = 2], P3 = [H]. Plot these...
Q3. In a (7,4) Hamming Code, three parity bits p1, p2, p3 are added to four data bits dl, d2, d3, and d4, and the coverage of each parity bit is as shown in the table below: Bit position 2 3 4 5 6 7 Encoded data bits p1 p2 di p3 d2 d3 d4 da X p1 X X X x Parity bit coverage p2 х X X p3 X X X х 1) (3 pts) Assume even parity...
Apply Euclidean Distance to find the Distance Matrix for 3-dimensional vectors P3 4 2
Problem 7. A set of special orthonormal functions rather than F.T is more useful to analyze the signal (25) S (t) S, (t) S (t) S, (t) -1 a) Find out orthonormal basis function intuitively. Gram Shumidit Orthogonalization. (10) b) Represent waveforms in terms of vectors and what is the dimension of signals. (5) c) Show the all the possible distances between the waveforms. (5) (d.., Euclidean distance) d) What is the minimum distance among all the distances? (5) Problem...
Question 4.1 (9 marks): Consider a basis B = {pl,p2.p3} of polynomials in P, , where pl :=1-x: p2 := x-x: p3 := 1+x: a Use the definition of coordinate vector to find the polynomial p4 in P, the vector of coordinates of which in the basis B is c4=(2,2,-2). b. Find the transition matrix StoB from the standard basis in P, to the basis B. What are the coordinates of the three standard coordinate vectors of the basis Sin...
Let H={p() : p()= a + b + cf*: a,b,cer} (a)(3 marks) Show that H is a subspace of P3. (b) Let P1, P2, P3 be polynomials in H, such that Py(t) = 2, P2(t) = 1 +38P3(0)= -1-t-Use coordinate vectors in each of the following and justify your answer each part (1) (5 marks) Verify that {P1, P2, P3} form a linearly independent set in P3- (11) (2 marks) Verify that {P1, P2, P3} does not span P3. (111)...
6. Consider the weighted voting system [23:8,9,15,8]. Find the Banzhaf power distribution of this weighted voting system. (P1P2,P3) (P1,P2,P4) P1,P3,P4) P2 P3P4) (P1,P2,P3,P4) P1.P2) P1P3) Player Times critical Power index P2.P3) (P2 P4) (P3,P4) P3 7. Cindy, Jamal, Monique, and Ryan are dividing a piece of land using the lone-divider method. The values of the four pieces of land in the eyes of the each player are: Piece 1 35% 20% 25% 15% Piece 2 15% 40% 25% 25% Piece...
Equations: p + q = 1 p 2 + 2pq + q 2 = 1 Three-way cross [(P1 x P2) x P3] predicted from F1's: 1/2[F1(P1 x P3) + F1(P2 x P3)] Double cross [(P1 x P2) x (P3 x P4)] predicted from F1's: 1/4[F1(P1 x P3) + F1(P1 x P4) + F1(P2 x P3) + F1(P2 x P4)] V p = V A + V E + V D V G = V A + V D V E...
5. Find the vector 5 that is parallel to vector a = 27 -7 and has the length of 5. 6. Find the distance between two points (-1,-3,6) and (0,3,0). 7. Find the distance from the point (-5,3,-2) to a. the origin b. the x-axis c. the xz-plane 8. Let P; be the midpoint of the line segment between P.(-3,4,1) and P2(-5,8,3). Find the coordinate of the midpoint between P, and P3. 9. Knowing = (2,-3,1), 7 = (-2,0,5), and...
Let p, (t) 6+t, P2(t) =t-3t, p3 (t) = 1 +t-2t. Complete parts (a) and (b) below. Use coordinate vectors to show that these polynomials form a basis for P2. What are the coordinate vectors corresponding to p, p2, and pa? P- Place these coordinate vectors into the columns fa matrix A. What can be said about the matrix A? O A. The matrix A forms a basis for R3 by the Invertible Matrix Theorem because all square matrices are...
III. Consider a process that has been allocated 5 pages of memory: P1, P2, P3, P4, and P5. The process accesses these pages in the following order: P1 P2 P3 P4 P1 P2 P5 P1 P2 P3 P4 P5 (i) Illustrate Belady’s anomaly by precisely describing the execution of the FIFO page eviction algorithm in two cases: a) where the machine has 3 pages of physical memory, and b) where the machine has 4 pages of physical memory, and by...