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K & R Builders build three models of houses, M 1 , M 2 , and M 3 , in three subdivisions I, II, and
K & R Builders build three models of houses, M1, M2, and M3, in three subdivisions I, II, and III located in three different areas of a city. The prices of the homes (in thousands of dollars) are given in matrix A.
M1 | M2 | M3 | |||||||||||||||
I |
| ||||||||||||||||
A = | II | ||||||||||||||||
III |
The new price schedule for next year, reflecting a uniform percentage increase in each house, is given by matrix B.
M1 | M2 | M3 | |||||||||||||||
I |
| ||||||||||||||||
B = | II | ||||||||||||||||
III |
What was the percentage increase in the prices of the houses? Hint: Find r such that (1 + 0.01r)A = B.
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