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Each year 3% of people living in Tauranga move to Christchurch, and 4% of people in Christchurch move to Tauranga. If the populations of Christchurch and Tauranga are currently 381,891 and 131,258 people, respectively, what was the population of Christchurch last year (to the nearest individual)? You must use matrices to solve this question, as other methods may lead to premature rounding.

Each year 3% of people living in Tauranga move to Christchurch, and 4% of people in Christchurch move to Tauranga. If the populations of Christchurch and Tauranga are currently 381,891 and 131,258 people, respectively, what was the population of Christchurch last year (to the nearest individual)? You must use matrices to solve this question, as other methods may lead to premature rounding.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.6: Introduction To Linear Transformations
Problem 19EQ
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Each year 3% of people living in Tauranga move to Christchurch, and 4% of people in Christchurch move to Tauranga. If the populations of Christchurch and Tauranga are currently 381,891 and 131,258 people, respectively, what was the population of Christchurch last year (to the nearest individual)? You must use matrices to solve this question, as other methods may lead to premature rounding.
Transcribed Image Text:Each year 3% of people living in Tauranga move to Christchurch, and 4% of people in Christchurch move to Tauranga. If the populations of Christchurch and Tauranga are currently 381,891 and 131,258 people, respectively, what was the population of Christchurch last year (to the nearest individual)? You must use matrices to solve this question, as other methods may lead to premature rounding.
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