(c) Use Givens rotations to transform the vector 4 =1-3 I to a multiple of the...
1 2-4 Given A=1 2 6 7 (i) Use Householder transformations to transform A into an upper triangular matrix R. Also transform the vector b = 9 | , th b(1)-H2Hib. (ii) Solve Rx = b(1) for x and check your answer by computing b-Ax. -2 1 8 at is compute -3 1 2-4 Given A=1 2 6 7 (i) Use Householder transformations to transform A into an upper triangular matrix R. Also transform the vector b = 9 |...
Molecular Rotations a. The wavefunction of rotations of diatomic molecules according to the rigid rotor approximation are spherical harmonics. Where have you seen spherical harmonics before? What are the quantum numbers that specify the wavefunctions for the rotational quantum states of a diatomic molecule? b. What are the gross and specific selection rules for pure rotational spectroscopy of a diatomic molecule? What region of the spectrum is used spectroscopy? What are the rotational energy levels for diatomic molecules and spherical...
5. (22+2=4") Topic: The z-transform, z-transform properties Use the z-transform properties to determine the z-transform the following signal and specify the region of convergence. x[n]=(1)"u[n]*2":[-n-1]+)?[n-2]
4. Use the table of Laplace transforms and properties to obtain the Laplace transform of the following functions. Specify which transform pair or property is used and write in the simplest form. For part b, use the result of part pa (do not use # 28 in Table 2.2.1). For part c, use the result from part b. a. X(t) = sin 4t d. x(t) = e-St sin(4t) b. y(t) = t sin(4) e, y(t) = 1 + 3t2 c....
If vector a = +4 i(hat) - 8 j(hat)- 6 k (hat) and vector c = -4 i(hat) -2j( hat) - 3 k(hat), what will be the magnitude of vector a times vector c . (use Dot Product) Is the correct answer 18 or 28.91?
Use Matlab to solve. i) Declare a vector of length 256 samples. The first 100 samples is 1 and the next 146 samples are zero. This will be our low pass filter (10 points) ii) Use MATLAB's ifft function to compute the inverse transform of the filter you designed in 1 (i). This will be the impulse response of our filter (5 points) Define a DT signal x[n] = 3 cosen is provided as input the filter. Plot i Use...
Can someone solve number 4 for me, I don’t get how to solve it 3. Vector à is 3m long and is 60° above x-axis in the first quadrant. Vector b is 5m long and is 50° below the x-axis in the fourth quadrant. Find a) a +b, b) ä - b, c)b -a. Provide answers to a)-c) in both, unit-vector notations and in terms of magnitude and direction For two vectors mentioned in the problem 3, find ab and...
3. Consider the multiple linear regression model iid where Xi, . . . ,Xp-1 ,i are observed covariate values for observation i, and Ei ~N(0,ơ2) (a) What is the interpretation of B1 in this model? (b) Write the matrix form of the model. Label the response vector, design matrix, coefficient vector, and error vector, and specify the dimensions and elements for each. (c) Write the likelihood, log-likelihood, and in matrix form. aB (d) Solve : 0 for β, the MLE...
What is the initial position vector i in unit-vector notation? 2m//cr ~---_., 4 m 3 m What is the final position vectorin unit-vector notation? 3 m 4 m What is the x component of displacement Δ r ? 2 m 4 m 3m5m ITm
Use matlab Need the matlab code Problem 3: (a) Use Fourier transform to find i(t) in the circuit below if v.( 10e2tu(t). Use MATLAB to solve your problem. (b) Plot the magnitude and phase spectrum of the current I(o). 2Ω 3 20 1 H Submit the solution in word file. The used MATLAB code should be included Due date: last day of classes