6.4 (11). Let Ar = f be a tridiagonal system of order n. (a) Give an...
6.4 (11). Let Ac = f be a tridiagonal system of order n. (a) Give an operation count for forming A = LU, using (6.71). (b) Assuming LU is known, give an operation count for solving Ar = f by using (6.72) and (6.73).
A1. Let (A, B, C, D) be a SISO system in which A is a (n x n) complex matrix and B a (n x 1) column vector, let -1 V = {£ajA*B: aj e C; j= 0, ...,n- (i) Show that V is a complex vector space. (ii) Show that V has dimension one, if and only if B is an eigenvector of A AX for X E V. Show that S defines a linear map from S: V...
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a) For the system of equations given, partially row reduce the coefficient matrix in the following careful way: X1 + 2yı - 21 = 5 4x1 +9yı - 324 = 8 (5x1 + 12yı - 321 = 1 Stage 1: just reduce the matrix first to an upper triangular form U and leave pivot entries as they are (don't multiple to change them to l's). Reduce from left to right through the columns and from...
all questions are from last year exam paper.I need solution for
all of them so that I can prepare for my exam.Please help
(b) Let the random variable X with the probability density function f(x) = 2x; 0<x<1. Find: the p.d.f. of Y = 8X3 (i) (ii) E(Y) and Var(Y). Also show that E(Y) = E(8X3). 6 4. (a) The probability that a patient recovers from a delicate heart operation is 0-8. What is the probability that exactly 2 of...
Computer Engineering
4. (20 pts) If a user of a comms system wants to utilize the RSA public key encryption with p = 11 and q = 7 find their public and private keys and encrypt the message, “cyber”, using the numeric value of 1 to represent an 'a', 2 = 'b', etc. Also, show the first step in the deciphering process of this message by the user (i.e. show the first calculation based off of the received cipher for...
Actice: Mutations - A -P--I--3--H--N--R--6--8- --11--11-- - ----- CGI GATTIOTITATITCATCCARAGATCTGGGC ATGACHATAGCTATCTACH --6-- -F-- - --5--5--K -3 -4--G-- ----y--5--4--1--0 -- -- SOBOTACECCO THACACOLAGACICITITCAAGACTACATTAASTCCTATTTGGAACAAGCGAC CG 3 -D-P-- -- -- - -- -- --I--K -3-wY--1-- --0-- --3--2 MES CATCH.CCTCRIGGST SELCATOGICCITGGGGCCGCGADGGLAGGCGCSGTCC CACHGCOCTOCT 3GC --3-- -- -- -- -- -- - - -- 173 W 179 AGGCT GTGAGTT AGTIGCTGIGTCGI CACAAGAGAAAGCAGCTCCTGAAGAARSCAGOGI -s--1 -1 - 6 -R- -11--1--2--3--0--I -F - 6--6--8--0--p RTCCTCATCCAGAAGAGGA TACCACAGCHET 13 -1 1 -- --3--R-- -- - BAGGATACCACAGTGTATORGAGCCWT TATAA........ -- -- -- - -...
Problem 3 (LrTrmations). (a) Give an example of a fuction R R such that: f(Ax)-Af(x), for all x € R2,AG R, but is not a linear transformation. (b) Show that a linear transformation VWfrom a one dimensional vector space V is com- pletely determined by a scalar A (e) Let V-UUbe a direet sum of the vector subspaces U and Ug and, U2 be two linear transformations. Show that V → W defined by f(m + u2)-f1(ul) + f2(u2) is...
BASIC CONCEPTS AND PRINCIPLES 1-1 HO For each of the circumstances enumerated below, give the letter item indicating the accounting objective attained or the principle applied: a. Understandability b. Verifiability c. Timeliness d. Comparability e. Completeness f. Conservatism g. Continuity of life h. Economic entity i. Historical Cost j. Income Determination k. Quantifiability 1. Materiality ーi. Goodwill is only recorded in the accounts when it arises from the purchase of another entity at a price higher than the fair market...
I need help with questions 1-8
POST-LAB: LABORATORY 11 Complete on a separate sheet of paper. 1. Indicate whether the molecule is an ion. Then, indicate whether the molecule is polar m. I n. H,PO o. BrO, p. IF q CO2 a. HCN b. H,SO c. HNO, d. BF H,CO, i. SF j. BeCl k. PO, 1. SO, e. XeF f H,O Calculate the number of valence electrons in each structure in question 1 2. Draw a correct Lewis dot...
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(must do all please)
11. Make a detailed graph of the function f)-1---on the interval |-4,1] by completing the following steps (a) Compate f(x). (Make sure it is correct before contisuing) (b) Determine those points a Determine those points x for which f(e)-o, that is, compate the eritical pointa of (oeparate multiple points with commas) answer in the form of a sign chart for ) You will lose credit...