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Q5 a) Compute the en B where 6 В -4 - 1 3 b) compute the square root of A= 31 2 3 2 3 c) compute the A 6 exp(A) where (G d) using the Peres partial transpose condition whether or not the state 14>= { (C1007 + 1017+1107-117) is entangled
Q5. Consider the square matrix A - 6 4 3 (a) Show that the characteristic polynomial of A# (X) = x-91-2. (6 pts) (b) Compute the matrix B-A 9A 21. (5 pts) (c) Show that A2 9A-21, for the given matrix A. (5 pts) (d) Is it possible to use the equation A? (Justify your answer) (5 pts) 9A 21, to incl the inverse of the given matrix A
Q3 [6 marks=3+3] (a) Compute the mean-squared value of the
signal over the interval . (b) What is the mean-square value of the
signal over the interval (-∞,∞) ?
[6 marks-3+3] (a) Compute the mean-squared value of the signal y(t)-2 sin(31) over the interval (-r,t). (b) What is the mean-square value of the signal a(t)-cos| 2πι +-| over the interval (- o, o) ?
Question 3 (Chapter 6) 13+2+3+6 14 marks Fix p EN and consider the following set: : T1 (a) Prove that Cp is convex. (b) Prove that C, is a cone. (c) Compute Ci and C2. (d) Show that x = 0 is an extreme point of CP.
Question 3 (Chapter 6) 13+2+3+6 14 marks Fix p EN and consider the following set: : T1 (a) Prove that Cp is convex. (b) Prove that C, is a cone. (c) Compute Ci...
(1) Choose the correct IUPAC Name of the compound Он B.(Z)-5-methylhex-2-en-4-ol A. (E)-5-methylhex-2-en-4-ol D. (Z)-2-methylhex-4-en-3-ol C. (E)-2-methylhex-4-en-3-ol (2) Choose the correct order according to the activity of carbonyl OO RCOR' RCOCR' RČNR'2 RCCI 4 3 2 B. 1>4>3>2 C. 2>1>4>3 D. 4>1>3>2 1>2>4>3 A. (3) Choose the correct structure of 2-chloroethylbenzoate В. A. CH, CH,CОСH, CH, CОСH,СH, II C. D. -соснCH, -сосH,CH, CI Cl (4) The name of the following structure is A. 5-heptanal B. 5-hexanal D.4-hexenal C. 5-hexenal (5)...
Q5: If 12 3 A = 10 -5 17 1 B,-14 -1] 2 -2] then the element in the third row and second column of (2A)2 + A is C. 29 D_-6 E. 17 A. 57
#3. Consider the following payoff table (where the payoffs are measured in dollars). State 2 81 256 .4 Value Act 1 Act 2 Probabilities State 1 16 0 .6 The modestly risk averse decision maker uses the square root utility function, i.e., U(x) - x050- x. A severely risk averse decision maker uses the fourth-root utility function, i.e., V(x) - x025 #3a, which act would the modestly risk averse decision maker choose via the maximum expected utility rule? (Show your...
Q5 8 Points Let A = -4 0 -3 2 3 0 -2 -1 3 Q5.1 6 Points Compute PTA (x) (the characteristic polynomial of TA), Write monomials in descending order of their exponent, x^n for 3" and a/b for Example: 5/2 (polynomial of degree 0) -2x+1/3 (polynomial of degree 1) 2x^2-3x+12 (polynomial of degree 2) Enter your answer here give the eigenvalue(s) of TA (in ascending order if multiple exists, separated by a comma and with a blank after...
13. Find the sum of each series. a. En=1(tan-In- tan-(n + 1)) 6. Σ=1 nn+2) 14. Determine whether each series converges absolutely, converges conditionally, or diverges. Be sure to show your reasoning and state any test(s) used. b. Σ=1; Page 18 of 18 C. Σ. 2(tan-n)" δ. Σο1 242 Σα (-1)+1η
(3 pts) Consider the series where n=1 (7n + 4)54 a = (7751 +15) In this problem you must attempt to use the Root Test to decide whether the series converges. Compute p= lim Van Enter the numerical value of the limit pif it converges, INF if it diverges to infinity, MINF if it diverges to negative infinity, or DIV If it diverges but not to Infinity or negative infinity. P= What is the conclusion of the root test? O...