2.4-13 Suppose A, b, c] is minimal and a(s)det (sI - A) has a repeated root. Prove that A cannot ...
2. Let A, B SR and suppose that ASB (0) Prove that A' S B' (ii) Hence, prove that A s B. 13) 14)
3. Let Xi, , Xn be i.i.d. Lognormal(μ, σ2) (a) Suppose σ-1, prove that S-X(n)/X(i) is an ancillary statistics. (b) Suppose p 0, prove T-X(n) is a sufficient and complete statistics (c) Find a minimal sufficient statistics.
3. Let Xi, , Xn be i.i.d. Lognormal(μ, σ2) (a) Suppose σ-1, prove that S-X(n)/X(i) is an ancillary statistics. (b) Suppose p 0, prove T-X(n) is a sufficient and complete statistics (c) Find a minimal sufficient statistics.
Problem 5. Let V and W be vector spaces, and suppose that B (vi, ..., Vn) is a basis of V a) Prove that for every function f : B → W, there exists a linear transformation T: V → W such that T(v;)-f(7) for all vEB (b) Prove that for any two linear transformations S : V → W and T : V → W, if S(6) = T(6) for all ï, B, then S = T (c) Prove...
Suppose that f : [a, b] → a, b] is continuous. Prove that f has a fixed point, i.e., prove that there exists ce [a, b] such that f(c) = c.
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(b) Prove that ker P = ker Tn ker S. () h a Question 4. Define T: Ma2 = c+ d. Prove that T is a linear transformation R by T C and onto. Find dim(ker T). Is T one-to-one? Jamomials in P. Show
(b) Prove that ker P = ker Tn ker S. () h a Question 4. Define T: Ma2 = c+ d. Prove that T is a linear transformation R by T C and onto. Find...
A company has a 13% WACC and is considering two mutually exclusive investments (that cannot be repeated) with the following cash flows: 0 1 2 3 4 5 6 7 Project A -$300 -$387 -$193 -$100 $600 $600 $850 -$180 Project B -$400 $133 $133 $133 $133 $133 $133 0 A. What is each project's NPV? Round your answer to the nearest cent. Project A: Project B: B. What is each project's IRR? Round your answer to two decimal places....
Consider f(z32. (a) Prove that f(x)3 - 4z 2 has a root in [0,1] (b) Define a function g(x) such that x is a fixed point of g if and only if it is a zero 2"- of f. (c) Verify that fixed-point iteration with your function g and zo 0.5 will converge (d) Starting with x,-0.5, perform as many iterations as required to find a root of f to 6 decimal places.
Given the transfer function 4. G(s)H(s) - (s + 8) (s +6s + 13) (a) Sketch the root locus plot using Matlab. (b) Estimate the system gain when the damping ratio is 7 0.707 (c) Add a simple pole, (s 2), to G (s)H (s) and examine the resulting root locus (d) Add a simple zero, (s +2), to G(s)H(s) and examine the resulting root locus
Given the transfer function 4. G(s)H(s) - (s + 8) (s +6s + 13)...
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13. Prove that there exists an integer n such that (a) n has exactly 1000 decimal digits, (b) The last 4 digits of n are 3121, and (c) 2019 | n, (d) 2121 I n.
13. Prove that there exists an integer n such that (a) n has exactly 1000 decimal digits, (b) The last 4 digits of n are 3121, and (c) 2019 | n, (d) 2121 I n.
please be as descriptive as possible, thank you
13. Prove that there exists an integer n such that (a) n has exactly 1000 decimal digits, (b) The last 4 digits of n are 3121, and (c) 2019 n, (d) 2121 t n.
13. Prove that there exists an integer n such that (a) n has exactly 1000 decimal digits, (b) The last 4 digits of n are 3121, and (c) 2019 n, (d) 2121 t n.