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Exercise 8

Avg difficulty 3.0

This table gives the number of hours of each type done by each worker, and the associated pay rates. Use matrices to compute the wages due.

regular overtime
Alan 40 12
Betty 35 6
Catherine 40 18
Donald 28 0
wage
regular $25.00\$25.00
overtime $45.00\$45.00

Remark. This illustrates that in practice we often want to compute linear combinations of rows and columns in a context where we really aren’t interested in any associated linear maps.

Hefferon, Linear Algebra, Maps Between Spaces, Mechanics of Matrix Multiplication, Exercise 8

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Adapted from Linear Algebra © 2016 Jim Hefferon. Licensed under CC BY-SA 3.0 US. Source: Linear Algebra. Imported at revision df2262e.