[B'] We may rephrase [B] using the definition of GA to get the following state-ment. If A e P, and B e L(P), then AB e C(P). (So we are makingprogress toward our goal of showing L(P) is a -system.)

Given: A∈Ρ and B∈LΡ then AB∈LΡ

Answered: [B'] We may rephrase [B] using the…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter6: Matrices And Determinants

Section: Chapter Questions

Problem 4P

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10. S = {r2 +3r +1, 2r? + – 1,4r +1} is: a. a linearly independent set of P2. b. a linearly dependent set of P2.
6. The covariance between X and Y is calculated and recorded as SXY (and sxy is a negative number). A linear transformation is performed on X. The linearly transformed variable is called W, where W; = 5 + Xi. The covariance between W and Y is calculated and recorded as sWY. Which statement is correct? A) В) In this example, swy would be less than sxY. In this example, swY Would be equal to sxY. In this example, swy would be greater than SXXY. 7. The covariance between X and Y is calculated and recorded as sxy (and sxy is a positive number). A linear transformation is performed on X. The linearly transformed variable is called W, where W; = (4)X;. The covariance between W and Y is calculated and recorded as sWY. Which statement is correct? In this example, sxY would be less than swy. In this example, sxY Would be equal to swy. In this example, sxY would be greater than sWY. A) B) 8. The correlation between X and Y is calculated and recorded as rxY (and rxy is positive). A linear…
Show that 3 10 S = 1 10 is a linearly dependent set in R³.
The following shows the Excel spreadsheet for Education and Income . A B C 1 Individual i Education (x) Income (y) 2 1 3 45 3 2 4 56 4 3 6 85 5 4 2 35 6 5 5 57 7 6 4 48 8 7 8 100 9 8 0 38 10 11 =COVARIANCE.S(C2:C9,B2:B9) 12 =CORREL(C2:C9,B2:B9) Group of answer choices The formula in B11 is “=covariance.s(C2:C9,B2:B9)”. It gives the variance of Education and the variance of Income. The values are 51.4287 and 0.9137. The formula in B11 is “=covariance.s(C2:C9,B2:B9)”. It gives the correlation between Education and the variance of Income. The value is 0.9137 The formula in B12 is “=correl(C2:C9,B2:B9)”. It gives the covariance between Education and Income. The value is 51.4286. The formula in B12 is “=correl(C2:C9,B2:B9)”. It gives the correlation between Education and Income. The value is 0.9137.
Q.5 Suppose we have an economy where rational agents form the rational expectation about the economy. Let Yt, mi, Pt be the logs of real output, money stock and price level in period t, respectively. We assume the following relations hold: (1)у, — т, — P. (2)y —D у + Ф(р, — Е-1 (р.)) + и (3)m, 3 т where y is the level of output and u; is a random variable with zero mean and variance. Calculate the reduced forms for y, and p,
Michael Sosin investigated determinants that account for individuals' making a transition from having a home (domiciled) but using meal programs to becoming homeless. The following table contains the data obtained in the study. Homeless Domiciled Men Men Sample size 96 232 Number currently working 34 85 Is there sufficient evidence to indicate that the proportion of the currently working is smaller for homeless men than for domiciled men? Use a = 0.2. Let the number of homeless men be the first population and the number of domiciled men be the second. a. Choose the answer : 1) Alternative Hypothesis: The population proportion of the currently working is smaller for homeless men than for domiciled men. 2) Alternative Hypothesis: The sample proportion of the currently working is smaller for homeless men than for domiciled men. 3) Alternative Hypothesis: The population proportion of the currently working is smaller for domiciled men than for homeless men. 4) Alternative Hypothesis: The…
2. (4 pts.) What is the difference between a Hamiltonian path and an Eulerian path? 3. (10 pts. total) A traveling salesman has to fly from the home base in Orlando to Atlanta, New York, and Chicago (although not necessarily in that order) and then return home. The current airline ticket prices in $ are given in the table below. Orlando Atlanta New York Chicago Orlando 400 480 450 Atlanta 400 360 470 New York 480 360 460 Chicago 450 470 460 a) Draw a weighted graph that represents this problem in the space below. Use the first letter of the city when labeling each vertex. b) Find the weight (price) of the Hamiltonian circuit formed using the nearest neighbor algorithm. Give the vertices in the circuit in the order they are visited in the circuit as well as the total weight (price) of the circuit. Remember to include the unit of measure in your fin answer.
H9.
Match each ODE with the graph of its response wave (in blue). vy" +y = +y = 26(t - ) 0.36(t - 4) 106(t – ) !! +y= a. +y -1 b. 4+ C. -2 -3 -4 10 d. -2 -6
dz dz and dm Draw a dependency diagram, and write a chain rule formula for where z = h(p) and p = g(m,n). an Choose the correct dependency diagram below. A. В. Oc. OD. p=g(m,n) dp z= h(p) dz p= g(m,n) z=h(p) др др др dz dm dn dp dm dg p dm dp p dp dn dp dz dz dm dn др dm dm dn dz dz on др m dz below. dm Choose the correct chain rule formula for O A. dz dz dp am dp dn dz dz dp dm dp дm O C. dz др др dz + dm dm an dp O D. dz др др dz dm dm dn dp dz below. an Choose the correct chain rule formula for O A. dz dz dp an dp dm В. дz др др dz an dm an dp O C. dz др др dz %3D an dm dn dp D. дz dz dp = an dp дn + II II B.
Q6 You have two machines. Machine 1 has a lifetime T which is exponentially distributed with parameter d1, and Machine 2 has a lifetime T, which is exponentially distributed with parameter A, and is independent of T1. Machine 1 starts at time 0, and Machine 2 starts at a time T > 0. Q6(i.) Assume that T is deterministic. Compute the probability that Machine 1 is the first to fail. Q6(ii.) Answer the same question when T is exponentially distributed with parameter u and is independent of T1 and T,.
Express the following as linear combinations of = (2, 1,4), v = (1, – 1, 3), and w= 8. = (3, 2, 5). %3D (a) (-9, –7, –15) (b) (6, 11, 6) (c) (0, 0, 0) (d) (7, 8, 9)

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[B'] We may rephrase [B] using the definition of GA to get the following state- ment. If A e P, and B e L(P), then AB e L(P). (So we are making progress toward our goal of showing L(P) is an-system.)