DO NOT COPY FROM OTHER WEBSITES Supposewe have the following data points in 2-d space (0, 0), (-1, 2), (-3, 6), (1,-2), (3,-6). What is the first principle component?

Given the data points in 2-d space are 0,0, -1,2, -3,6, 1,-2, 3,-6

Answered: What is the first principle component?

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CM: Cumulative Review

Problem 4CM: Use a software program or a graphing utility to write v as a linear combination of u1, u2, u3, u4,...

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Similar questions

Use a software program or a graphing utility to write v as a linear combination of u1, u2, u3, u4, u5 and u6. Then verify your solution. v=(10,30,13,14,7,27) u1=(1,2,3,4,1,2) u2=(1,2,1,1,2,1) u3=(0,2,1,2,1,1) u4=(1,0,3,4,1,2) u5=(1,2,1,1,2,3) u6=(3,2,1,2,3,0)
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An analyst in the real estate business is interested in the relationship between the cost of the monthly rent of an apartment and the size of an apartment, in big cities. She gathers data for apartment buildings in 12 cities in 12 different states. In each city, she gets the numbers for at least 5 different buildings and at least 40 apartments in each building. She reaches the following conclusion: the rental cost of a 2-bedroom apartment is 50% more than the rental cost of a 1-bedroom apartment, and the rental cost of a 3-bedroom apartment is 50% more than the rental cost of a 2-bedroom apartment. Based on the paragraph, what is the minimum number of apartments she collected data on? Do you think her sample was large enough to be statistically valid? Based on the paragraph, are there any apartments or apartment buildings that she would have excluded from her study? Do you see any bias in how she selected apartments for her study? Based on the paragraph, is there a positive…
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There are four students named A, B, C, and D. All four of them are loss averse over money,with the same value function for money:v(x dollars) = √x and x ≥ 0, −2√−x and x < 0All three of them are also loss averse over mugs, with the same value function for mugs:v(y mugs) = 3y and y ≥ 0, 4y and y < 0Total utility is the sum of the gain/loss utility for mugs and the gain/loss utility for money.The reference point is the status quo, that is, a person’s initial endowment. Student A ownsa mug and is willing to sell it for a price of a dollars or more. Student B does not own amug and is willing to pay up to b dollars for buying it. Student C does not own a mug andis indifferent between getting a mug and getting c dollars. Student D is indifferent betweenlosing a mug and losing d dollars.1. Solve for a, b, c, and d.

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