Question

NCBM 0224 Support for Math for Business & Economics Support for Section 4.6 Matrix Equations Name Date WRITING AND SOLVING A MATRIX EQUATION A Matrix Equation AX = B will have a solution X = A +B. Example The Blue Hole is a swimming attraction in Wimberley, Texas. Daily admission for swimming is $10 for adults and $6 for children. At the end of the day, the total number of visitors and the gross receipts are recorded, but the number of adults and the number of children is not. The following table contains the relevant information for a sunny weekend in June. How many adults and children visited the swimming hole on Saturday? Saturday Sunday Number of visitors 625 580 Gross receipts $4970 $4940 1. Define your variables. Let x (or x1) = Let y (or x2) = Then, write your system. Total visitors Total receipts Coefficients Variables Constants Now, write as a matrix equation. 2. The solution is X= A''B. Find A.

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