Home Prices Suppose the following table shows median home prices, in thousands of dollars, in four regions of a country in May 2013, as well as the year- over-year changes in 2014 and 2015. Northeast Midwest South West May 2013 278 168 183 276 Change in 2014 -13 6 18 Change in 2015 12 16 15 30 Use matrix algebra to find the median home price, in thousands of dollars, in each region in May 2014 and 2015. Northeast Midwest South West May 2014 May 2015

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.1: Matrix Operations
Problem 20EQ: Referring to Exercise 19, suppose that the unit cost of distributing the products to stores is the...
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Home Prices Suppose the following table shows median home prices, in thousands of dollars, in four regions of a country in May 2013, as well as the year-
over-year changes in 2014 and 2015.
Northeast
Midwest
South
West
May 2013
278
168
183
276
Change in 2014
-13
6
18
Change in 2015
12
16
15
30
Use matrix algebra to find the median home price, in thousands of dollars, in each region in May 2014 and 2015.
Northeast
Midwest
South
West
May 2014
May 2015
Transcribed Image Text:Home Prices Suppose the following table shows median home prices, in thousands of dollars, in four regions of a country in May 2013, as well as the year- over-year changes in 2014 and 2015. Northeast Midwest South West May 2013 278 168 183 276 Change in 2014 -13 6 18 Change in 2015 12 16 15 30 Use matrix algebra to find the median home price, in thousands of dollars, in each region in May 2014 and 2015. Northeast Midwest South West May 2014 May 2015
Expert Solution
Step 1

Let,

A be the matrix representation of the median home prices in May 2013.

B be the matrix representation of changes in median home prices in 2014.

C be the matrix representation of changes in median home prices in 2015.

 

So, by using the values given in the above table, the matrix representations are,

A=278168183276

B=-136018

C=12161530

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