4. eigen decomposition-e A--(RCode) A- 2-4 2 s spectrum decomposTtion p A (R Code) A- ぬ(Roode) A...
0 2 The product of Eigen values of the matrix P is P=4 -3 3 0 2 -1 (A) -6 (B) 2 (C) 6 (D) -2
Matrix is given A= (1 ous e R**3 (2 3 1 Questions: A-) Calculate all eigen na bes dod associə led B- Justify that A is diagonalisable and give and one diagonal matrix boso that A= SDS eigenspaces of A. a regular matrix s
for the relation R(O,P,X,Y,E, S) FDs={ O->P, XY->O, OE->S, EY->X, PY->X}. 1.Classify each functional dependency 2. Decompose the relation into BCNF relation. 3. Determine whether each of the decompositions has the lossless join property with respect to F and conclude for the whole decomposition. 4. Determine whether each of the decompositions has the dependency preserving property with respect to FD and conclude for the whole decomposition
r е u y C(s) P(s) Figure 2: A unity feedback system. 4 2. In Figure 2, let L(s) = P(s)C(s) = Answer the following: s(s+2) (a) What is the percentage overshoot PO of the closed-loop step response from r to y? (b) What is ||y(t)||.0 when r(t) = 8(t), i.e., the peak of the impulse response from r to y? (c) What is the energy of the error ||e(t) ||| when r(t) = o(t)? L(S) (d) Let T(S) =...
Homework problem: Singular Value Decomposition Let A E R n 2 mn. Consider the singular value decomposition A = UEVT. Let u , un), v(1),...,v(m), and oi,... ,ar denote the columns of U, the columns of V and the non-zero entries (the singular values) of E, respectively. Show that 1. ai,.,a are the nonzero eigenvalues of AAT and ATA, v(1)... , v(m) the eigenvectors of ATA and u1)...,un) (possibly corresponding to the eigenvalue 0) are the eigenvectors of AAT are...
Given the following Schema S = (R, FD) where R = (A, B, C, D, E, F) and FD contains the following dependencies: A -> BC B ->C C -> D D ->E C -> E E -> F DE -> F C -> F 1. Find a minimal cover of F 2. Find a key for the schema 3. Find a 3N decomposition of the schema that satisfies the lossless join decomposition and dependency preservation properties 4. Find a...
Algorithms Consider the universal hash function ha(x) = ((a * z)%p)%s for p = 7 and 8-4; e the random parameter a was chose a 2. If the hash key r goes through all possible valuesェ-0…., 6, which hash value ha(z) occurs least often? Show the distribution of the possible r over the addresses of the hash table. Consider the universal hash function ha(x) = ((a * z)%p)%s for p = 7 and 8-4; e the random parameter a was...
What is the R code and result in Rstudio 1. The following data gives, for each amount by which an elastic band is stretched over the end of a ruler, the distance that the band moved when released: stretch 46 54 48 50 44 4 52 distance 148 182 173166 109 141 166 Create a data frame in R with two columns that contain "stretch and "dis tance" respectively. Plot the distance versus the stretch using plot) function What trend...
Re Result Code Zone (mm) S/1/R Zone (mm) Zone (mm) S/ S/1/R Penicillin P-10 Vancomycin VA-30 Tetracycline TE-30 Chloramphenicol C-30 Streptomycin S-10 GM-10 Gentamicin Ssensitive, I-intermediate, R resistant Interpretation and Questions 1. Which patient's infection appears to be the most difficult to treat? Why? 2. Which patlent's infection appears to be the easiest to treat? Why Re Result Code Zone (mm) S/1/R Zone (mm) Zone (mm) S/ S/1/R Penicillin P-10 Vancomycin VA-30 Tetracycline TE-30 Chloramphenicol C-30 Streptomycin S-10 GM-10 Gentamicin...
R is a little difficult for me, please answer if you can interpret the R code, I want to learn better how to interpret the R code 4. each 2 pts] Below is the R output for a simple linear regression model Coefficients: Estimate Std. Error t value Pr(>t) (Intercept) 77.863 4.199 18.544 3.54e-13 3.485 3.386 0.00329* 11.801 Signif. codes: 0 0.0010.010.05 0.11 Residual standard error: 3.597 on 18 degrees of freedom Multiple R-squared: 0.3891, Adjusted R-squared: 0.3552 F-statistic: 11.47...