EBK BUSINESS MATH
11th Edition
ISBN: 8220103632072
Author: NOBLE
Publisher: Pearson Education (US)
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Chapter 15.3, Problem 1-8SC
To determine
To calculate: The number of shares purchased (rounded to the nearest thousandth) if
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LARLINALG8 7.2.001.
1. [-/2.85 Points]
Consider the following.
-14 60
A =
[
-4-5
P =
-3 13
-1 -1
(a) Verify that A is diagonalizable by computing P-1AP.
P-1AP =
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(b) Use the result of part (a) and the theorem below to find the eigenvalues of A.
Similar Matrices Have the Same Eigenvalues
If A and B are similar n x n matrices, then they have the same eigenvalues.
(11, 12) =
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2. [-/2.85 Points]
DETAILS
MY NOTES
LARLINALG8 7.2.007.
For the matrix A, find (if possible) a nonsingular matrix P such that P-1AP is diagonal. (If not possible, enter IMPOSSIBLE.)
P =
A =
12 -3
-4
1
Verify that P-1AP is a diagonal matrix with the eigenvalues on the main diagonal.
P-1AP =
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Calculus lll
May I please have the all properties of the dot product?
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H.w: Find the Eigen vectors for the largest Eigen
value of the system
X1+ +2x3=0
3x1-2x2+x3=0
4x1+ +3x3=0
Chapter 15 Solutions
EBK BUSINESS MATH
Ch. 15.1 - Prob. 1-1SCCh. 15.1 - Prob. 1-2SCCh. 15.1 - Prob. 1-3SCCh. 15.1 - Prob. 1-4SCCh. 15.1 - Prob. 1-5SCCh. 15.1 - Prob. 1-6SCCh. 15.1 - Prob. 2-1SCCh. 15.1 - Prob. 2-2SCCh. 15.1 - Prob. 2-3SCCh. 15.1 - Prob. 2-4SC
Ch. 15.1 - Prob. 1SECh. 15.1 - Prob. 2SECh. 15.1 - Prob. 3SECh. 15.1 - Prob. 4SECh. 15.1 - Prob. 5SECh. 15.1 - Prob. 6SECh. 15.1 - Prob. 7SECh. 15.1 - Prob. 8SECh. 15.1 - Prob. 9SECh. 15.1 - Prob. 10SECh. 15.1 - Prob. 11SECh. 15.1 - Prob. 12SECh. 15.1 - Prob. 13SECh. 15.1 - Prob. 14SECh. 15.1 - Prob. 15SECh. 15.1 - Prob. 16SECh. 15.1 - Prob. 17SECh. 15.1 - Prob. 18SECh. 15.2 - Prob. 1-1SCCh. 15.2 - Prob. 1-2SCCh. 15.2 - Prob. 1-3SCCh. 15.2 - Prob. 1-4SCCh. 15.2 - Prob. 2-1SCCh. 15.2 - Prob. 2-2SCCh. 15.2 - Prob. 2-3SCCh. 15.2 - Prob. 2-4SCCh. 15.2 - Prob. 3-1SCCh. 15.2 - Prob. 3-2SCCh. 15.2 - Prob. 1SECh. 15.2 - Prob. 2SECh. 15.2 - Prob. 3SECh. 15.2 - Prob. 4SECh. 15.2 - Prob. 5SECh. 15.2 - Prob. 6SECh. 15.2 - Prob. 7SECh. 15.2 - Prob. 8SECh. 15.2 - Prob. 9SECh. 15.2 - Prob. 10SECh. 15.2 - Prob. 11SECh. 15.2 - Prob. 12SECh. 15.2 - Prob. 13SECh. 15.2 - Prob. 14SECh. 15.3 - Prob. 1-1SCCh. 15.3 - Prob. 1-2SCCh. 15.3 - Prob. 1-3SCCh. 15.3 - Prob. 1-4SCCh. 15.3 - Prob. 1-5SCCh. 15.3 - Prob. 1-6SCCh. 15.3 - Prob. 1-7SCCh. 15.3 - Prob. 1-8SCCh. 15.3 - Prob. 2-1SCCh. 15.3 - Prob. 2-2SCCh. 15.3 - Prob. 2-3SCCh. 15.3 - Prob. 2-4SCCh. 15.3 - Prob. 1SECh. 15.3 - Prob. 2SECh. 15.3 - Prob. 3SECh. 15.3 - Prob. 4SECh. 15.3 - Prob. 5SECh. 15.3 - Prob. 6SECh. 15.3 - Prob. 7SECh. 15.3 - Prob. 8SECh. 15.3 - Prob. 9SECh. 15.3 - Prob. 10SECh. 15.3 - Prob. 11SECh. 15.3 - Prob. 12SECh. 15 - Prob. 1ESCh. 15 - Prob. 2ESCh. 15 - Prob. 3ESCh. 15 - Prob. 4ESCh. 15 - Prob. 5ESCh. 15 - Prob. 6ESCh. 15 - Prob. 7ESCh. 15 - Prob. 8ESCh. 15 - Prob. 9ESCh. 15 - Prob. 10ESCh. 15 - Prob. 11ESCh. 15 - Prob. 12ESCh. 15 - Prob. 13ESCh. 15 - Prob. 14ESCh. 15 - Prob. 15ESCh. 15 - Prob. 16ESCh. 15 - Prob. 17ESCh. 15 - Prob. 18ESCh. 15 - Prob. 19ESCh. 15 - Prob. 20ESCh. 15 - Prob. 21ESCh. 15 - Prob. 22ESCh. 15 - Prob. 23ESCh. 15 - Prob. 24ESCh. 15 - Prob. 25ESCh. 15 - Prob. 26ESCh. 15 - Prob. 27ESCh. 15 - Prob. 28ESCh. 15 - Prob. 29ESCh. 15 - Prob. 30ESCh. 15 - Prob. 31ESCh. 15 - Prob. 32ESCh. 15 - Prob. 33ESCh. 15 - Prob. 34ESCh. 15 - Prob. 35ESCh. 15 - Prob. 36ESCh. 15 - Prob. 37ESCh. 15 - Prob. 38ESCh. 15 - Prob. 39ESCh. 15 - Prob. 40ESCh. 15 - Prob. 41ESCh. 15 - Prob. 42ESCh. 15 - Prob. 43ESCh. 15 - Prob. 44ESCh. 15 - Prob. 45ESCh. 15 - Prob. 46ESCh. 15 - Prob. 47ESCh. 15 - Prob. 48ESCh. 15 - Prob. 49ESCh. 15 - Prob. 50ESCh. 15 - Prob. 51ESCh. 15 - Prob. 52ESCh. 15 - Prob. 53ESCh. 15 - Prob. 54ESCh. 15 - Prob. 55ESCh. 15 - Prob. 56ESCh. 15 - Prob. 57ESCh. 15 - Prob. 58ESCh. 15 - Prob. 59ESCh. 15 - Prob. 60ESCh. 15 - Prob. 1PTCh. 15 - Prob. 2PTCh. 15 - Prob. 3PTCh. 15 - Prob. 4PTCh. 15 - Prob. 5PTCh. 15 - Prob. 6PTCh. 15 - Prob. 7PTCh. 15 - Prob. 8PTCh. 15 - Prob. 9PTCh. 15 - Prob. 10PTCh. 15 - Prob. 11PTCh. 15 - Prob. 12PTCh. 15 - Prob. 13PTCh. 15 - Prob. 14PTCh. 15 - Prob. 15PTCh. 15 - Prob. 16PTCh. 15 - Prob. 17PTCh. 15 - Prob. 18PTCh. 15 - Prob. 19PTCh. 15 - Prob. 20PTCh. 15 - Prob. 21PTCh. 15 - Prob. 22PTCh. 15 - Prob. 23PTCh. 15 - Prob. 24PTCh. 15 - Prob. 25PTCh. 15 - Prob. 26PTCh. 15 - Prob. 27PTCh. 15 - Prob. 28PTCh. 15 - Prob. 29PTCh. 15 - Prob. 30PTCh. 15 - Prob. 1CTCh. 15 - Prob. 2CTCh. 15 - Prob. 3CTCh. 15 - Prob. 4CTCh. 15 - Prob. 5CTCh. 15 - Prob. 6CTCh. 15 - Prob. 7CTCh. 15 - Prob. 8CTCh. 15 - Prob. 9CTCh. 15 - Prob. 1CPCh. 15 - Prob. 2CPCh. 15 - Prob. 1CS1Ch. 15 - Prob. 2CS1Ch. 15 - Prob. 3CS1Ch. 15 - Prob. 4CS1Ch. 15 - Prob. 1CS2Ch. 15 - Prob. 2CS2Ch. 15 - Prob. 3CS2Ch. 15 - Prob. 4CS2Ch. 15 - Prob. 5CS2
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- [) Hwk 25 → C Hwk 27 - (MA 244-03) (SP25) IN X Answered: [) Hwk 25 4. [-/4 Poir X + https://www.webassign.net/web/Student/Assignment-Responses/submit?dep=36606606&tags=autosave#question3706544_6 3. [-/2.85 Points] DETAILS MY NOTES LARLINALG8 7.1.021. Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix. 2 -2 5 0 3 -2 0-1 2 (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) (1, 2, 13) = ·( ) a basis for each of the corresponding eigenspaces X1 x2 = x3 = Need Help? Read It Watch It SUBMIT ANSWER 4. [-/2.85 Points] DETAILS MY NOTES LARLINALG8 7.1.041. Find the eigenvalues of the triangular or diagonal matrix. (Enter your answers as a comma-separated list.) λ= 1 0 1 045 002 Need Help? Read It ASK YOUR TEACHER PRACTICE ANOTHER ASK YOUR TEACHER PRACTICE ANOTHER illarrow_forwardons 12. A sociologist hypothesizes that the crime rate is higher in areas with higher poverty rate and lower median income. She col- lects data on the crime rate (crimes per 100,000 residents), the poverty rate (in %), and the median income (in $1,000s) from 41 New England cities. A portion of the regression results is shown in the following table. Standard Coefficients error t stat p-value Intercept -301.62 549.71 -0.55 0.5864 Poverty 53.16 14.22 3.74 0.0006 Income 4.95 8.26 0.60 0.5526 a. b. Are the signs as expected on the slope coefficients? Predict the crime rate in an area with a poverty rate of 20% and a median income of $50,000. 3. Using data from 50 workarrow_forward2. The owner of several used-car dealerships believes that the selling price of a used car can best be predicted using the car's age. He uses data on the recent selling price (in $) and age of 20 used sedans to estimate Price = Po + B₁Age + ε. A portion of the regression results is shown in the accompanying table. Standard Coefficients Intercept 21187.94 Error 733.42 t Stat p-value 28.89 1.56E-16 Age -1208.25 128.95 -9.37 2.41E-08 a. What is the estimate for B₁? Interpret this value. b. What is the sample regression equation? C. Predict the selling price of a 5-year-old sedan.arrow_forward
- need help with 5 and 6 pleasearrow_forwardian income of $50,000. erty rate of 13. Using data from 50 workers, a researcher estimates Wage = Bo+B,Education + B₂Experience + B3Age+e, where Wage is the hourly wage rate and Education, Experience, and Age are the years of higher education, the years of experience, and the age of the worker, respectively. A portion of the regression results is shown in the following table. ni ogolloo bash 1 Standard Coefficients error t stat p-value Intercept 7.87 4.09 1.93 0.0603 Education 1.44 0.34 4.24 0.0001 Experience 0.45 0.14 3.16 0.0028 Age -0.01 0.08 -0.14 0.8920 a. Interpret the estimated coefficients for Education and Experience. b. Predict the hourly wage rate for a 30-year-old worker with four years of higher education and three years of experience.arrow_forward1. If a firm spends more on advertising, is it likely to increase sales? Data on annual sales (in $100,000s) and advertising expenditures (in $10,000s) were collected for 20 firms in order to estimate the model Sales = Po + B₁Advertising + ε. A portion of the regression results is shown in the accompanying table. Intercept Advertising Standard Coefficients Error t Stat p-value -7.42 1.46 -5.09 7.66E-05 0.42 0.05 8.70 7.26E-08 a. Interpret the estimated slope coefficient. b. What is the sample regression equation? C. Predict the sales for a firm that spends $500,000 annually on advertising.arrow_forward
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