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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
370 380 380
450 440 450
660 630 680
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
403.3 414.2 414.2
490.5 479.6 490.5
719.4 686.7 741.2
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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