The matrix A= matrix([[0, 1, 16, 22], [4, 20, 8, 7], [19, 8, 7, 22], [17, 22, 25, 11]])  represents number of housing units of different types

 

 to be built in the states KY,OH,IN,TN  corresponding to rows

 

and housing types corresponding to the columns.

Suppose that the profits (in thousand dollars) made for each type respectively

 are given by the column B= matrix([[13], [12], [10], [11]]) then the profit to be made

 

in the state KY  is given by calculating the entry in the

-th row of the product of AB.

 

Moreover, this profit is  thousand dollars.

 

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