Question 2. Consider a p-dimensional response variable j, containing p variables, with n observation vectors j1,..., n. The sample mean vector of these observation vectors is denoted by = (1/n) -1 F. Consider a linear combination v of the observation vector j, defined as v = a1y1 + a2y2 + .+ apyp = d'j where aT = (a1, a2, . . . , ap). i) Show that the mean of v is v = a

Question 2. Consider a p-dimensional response variable j, containing p variables, with n observation vectors j1,..., n. The sample mean vector of these observation vectors is denoted by = (1/n) -1 F. Consider a linear combination v of the observation vector j, defined as v = a1y1 + a2y2 + .+ apyp = d'j where aT = (a1, a2, . . . , ap). i) Show that the mean of v is v = a

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter4: Nonlinear Oscillations And Chaos

Section: Chapter Questions

Problem 4.14P

See similar textbooks

Similar questions

write the solution step by step and clearly.Answer Number 2.
Evaluate the function f(x) = 0.15x^3 − 3.18x^2 − 2.4x+ 17.1 for x=0.14, where, xis rounded. Compute the absolute error and error bound.
Consider the function: z=(x / y3) 1/2 where ? = 13.36 ± 0.03 and, ? = 6.27 ± 0.05 are two independent measured quantities, eachwith its own error. Calculate the value of ? and the standard error ∆z
Solve the following problem by writing complete solutions with corresponding units and by using the constant value.
The dimensional homogeneity of the equation a is L; prove that this assertion is true.
The dimensional homogeneity of the equation S = ut + 1/2 ut square is L prove that this assertion is true
hello, I think the graph is concave, can u please recheck it?
Obtain the sine law of plane trigonometry by interpreting the product A × B and the alternate representation (A − B) × B.
Show that, when SI units for µ0 and ε0 are entered, the units given by the right-hand side of the equation in the problem above are m/s.
For T = 0.3 sec, write the element of the discrete sequence corresponding to the function f(t) = 5t with k = 18. Provide your answer in seconds to the nearest first decimal place. Pay attention to the numbers given
I do not understand how the professor came to the conclusion for the Vcenter equation.
Obtain relations for the characteristic lengths of a large plane wall of thickness 2L, a very long cylinder of radius ro, and a sphere of radius ro.