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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
340 370 350
430 410 460
660 610 700
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
360.4 392.2 371
455.8 434.6 487.6
699.6 646.6 742
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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