Given two vectors A[n] = [1 355 715] B[n] = [2 2 8 75] Arrows show...
Q1 Given two vectors Aln 1355715 n 122875 Arrows show the zero point. For A[n, the index n-[-2,-1, o, 1, 2, 3, 4) and for Bin), the index n-1,0, 1, 2,31. Calculate the Cin-An] sony B [n). Using either the numerical method or the table method. Detailed steps must be provided for full credit. Draw or plot A B, and C. Q2 For the Aln] and Binl, calculate their cross-correlation DIn). Plot Din] below Calculate the autocorrelation of Aln) and...
1. Consider the diagram showing two force vectors: a) If vector FA represents 75 N, use a ruler to measure the length of FA on the diagram and determine the scale factor in cm/N. b) Use your ruler to measure FB and then use the scale factor from part a) to find the magnitude of FB. c) Use the parallelogram method to draw (and label) the resultant force, FR. Measure FR with your ruler to find the magnitude of the...
2+z-1 1. The Z-transform of a signal x[n] is given as X(z) = }</21 < a) Find the signal x[n] [7] b) Draw the pole – zero plot of the z-transform .[3] c) Is x[n] causal or not? Justify your answer [2]
(1 pt) Determine convergence or divergence of 6n2 + 6 n=1 A. converges B. diverges Note: You are allowed only one attempt on this problem. Determine the convergence or divergence of the series 6" 8n This series is convergent. This series is divergent. Note: You are allowed only one attempt on this problem. (1 pt) Test each of the following series for convergence by either the Comparison Test or the Limit Comparison Test. If either test can be applied to...
8. A parallelepiped is formed by the vectors a,1,0, b 0,1, 1 and c1,1 e the volume of the parallelepiped. etermin 9. Show that the four points A(1,3, 2), B(3,-1,6), C(5, 2,0) and D(3,6,-4) are copla- nar
HW 2 1. Three vectors are shown in the figure. Their magnítudes are given in arbitrary units. Determine the sum R-A+B+C of the three vectors GRAPHICALLY. Using the grid paper provided, draw each vector to scale (Let's say Icm: 10 arbitrary units) using the tail- to-head method with a ruler and protractor. When you are done, measure the length and angle of the resultant vector to determine its magnitude and direction wrt. +x-axis. A(A 440) 56.0° 28.0° C (C 31.0
I need help with this MATLAB exercise. The given system is y[n] - (3/10)y[n-1] - (1/10)y[n-2] = 2x[n] The input x[n] is 2cos(2*pi*n/6)(u[n] - u[n-10]) Don't have to answer part 2 of the question. Zero-state response of a system can be found by using convolution of the input signal and unit impulse response: Use conv command from MATLAB to compute the zero-state response of the system defined in part B to the input x[n] in part C. 1. 2. 3....
5. For parts (a)-(d) below, consider the set of vectors B = {(1,2), (2, -1)}. (a) (2 points) Demonstrate that B is an orthogonal set in the Euclidean inner product space R2. (b) (3 points) Use the set B to create an orthonormal basis in the Euclidean inner product space R2 (e) (7 points) Find the transition matrix from the standard basis S = {(1,0),(0,1)} for R2 to the basis B. Show all steps in your calculation. (d) (7 points)...
Question 2. Let B- (1,-1,1).(-1,1,1) and C(1,-1,0), (0,0, 1)) be subsets of R3 (a) Show that both the sets B and C are hnearly independent sets of vectors with spanB - 12 marks 2 marks spanC (b) Assuming the usual left to right ordering, find the transition matrix PB-C (c) Given a basıs D of R2, find the transition matrux Ps-D given 2 1 Pc.D 3 2 3 marks (d) Use the transition matrix Pc-.D in (c) to find D...
IN IwODIMENSIONMOMENTUM Me HV Name Two objects are arranged on a level, frictionless table as shown. Two experiments are conducted in which object A is launched toward the stationary block B. The initial speed of object A is the same in both experiments; the direction is not. The initial and final velocities of object A in each experiment are shown 1. The mass of block B is four times that of object A (m 4m). Top views Velocity vectors (drawn...