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(2) Prove that if j-0 i-0 with k, 1 e N u {0), and bo, . . . , be , do, . . . , dl e { 0, . . . , 9), such that be, de # 0, then k = 1 and bi- di fori 0,.. , k. (I recommend using strong induction and uniqueness of the expression n=10 . a + r with a e Z and re(0, 1, ,9).) (3) Prove that for all...
a e Octave a a Caleculator to qn i. Calculate the number N equal to the sum of all digits of your SID ii. For the N × N matrix A = (aij) defined as aij-l if i = j, or i + 1 = j, and aij 0 for all other values of (i,j) Compute (A-)x for x ,,1 ER . Compute (A-1)Tx for x = [1, 2, 3, . . . , NIT E RN. . Compute x-A(A-19%...
14. Fix a non-zero vector i e R". Let L: R" → R" be the linear mapping defined by L(7) = – 2 proj„(7), for all a E R" (a) Show that if je R", such that j + ð and j ·ñ = 0, then j is an eigenvector of L. What is its eigenvalue? (b) Show that i is an eigenvector of L. What is its eigenvalue? (c) What are the algebraic and geometric multiplicities of all eigenvalues...
An m×n array A of real numbers is a Monge array if for all i,j,k, and l such that 1≤i<k≤m and 1≤j<l≤n , we have >A[i,j]+a[k,l]≤A[i,l]+A[k,j]> In other words, whenever we pick two rows and two columns of a Monge array and consider the four elements at the intersections of the rows and columns, the sum of the upper-left and lower-right elements is less than or equal to the sum of the lower-left and upper-right elements. For example, the following...
Consider a group ofn 4 people, numbered from l to n. For each pair (i, j) with ǐ关į person i and person J are friends, with probability p. Friendships are independent for different pairs. These n people are seated around a round table. For convenience, assume that the chairs are numbered from 1 to n, clockwise, with n located next to 1, and that person i seated in chair i. In particular, person 1 and person n are seatec next...
Player II С 6,6 1,7 Player l D 713,3 Consider a game in which Player 1 first sci cts ben o n L and R f Payer 1 sc cts l then pla s 1 and 2 play ฮ prisoners dilemma game rep esc ted in he strategic or above Pla er s loc R hen, Player 1 and 2 play he battl o tho xes game n and independently choose between A and B. It they both ceA, then...
solve question 15 14. Calculate the probability of finding the particle in a one dilesO 'L' in the region between L/4 & 3 L/4 for quantum number n = 1. 15. Identity which of the following operator is Not Hermitian with reasons? A) (h/i) lfr Derive the Langmuir adsorption isotherm. How this isotherm tested? 1l sfo cunoint group.
Suppose that the covariates Xj,i for i 1, 2, , n and j 1, 2, , indicator variables for a single categorical variable in the manner covered in the course. Thus, suppose that for each individual i = 1,2,…,n we have that X1.i, X2.i,...,Xd,i this one is equal to the number 1. Let Bk be the (A , . . . , β 1), the minimizer of L (bi , b2, . . . ,勿of eq. (B. = Yn.(k), where...
ANSWER ALL PLEASE Question 20 2 pts In the Figure below, V1 = 14 V, V2 = 8 V, V3 = 10 V, R1 = 2.00, R2 = 4.0, and R3 = 2.00 Find the electric currents is, iz, and is. (Hint: use the junction a and the two loops). RI R 14 M4 Equations: Kirchoff's Junction (node) rule: 11 = 12 + iz Kirchoff's Loop rule (left loop): V1 - iRi - iz R2 + V2 = 0 Kirchoffs...
I, K, M, N R-O-O-R (trace +HB HBr Q. 1) Hg(OAc)+H20 2) NaBH4 OH CH3 J. K. CH 2 1) BH3/THF 2) H202/ OH OH 1) BH3/THF L. 2) H202/ OH M. Br2 CH3-CC-CH N. (1) O3 (2) Zn/H20 liq NH +2 P.