Students are buying books for the new semester. Brigitte buys the German grammar book and the German novel, Die Leiden des jungen Werther, for in total. Claude spends on the linear algebra text and the German grammar book, while Denise buys the linear algebra text and Werther, for . How much does each of the three books cost?
The German grammar book, the German novel – Die Leiden des Jungen Werther and the linear algebra text cost, and respectively.
The cost of each book can be found using the augmented matrix.
The system of equations is,
Represent the above equations in terms of a matrix.
Consider the obtained matrix and reduce it into row echelon form:
The values are, .
Hence, the German grammar book, the German novel – Die Leiden des Jungen Werther and the linear algebra text cost, and respectively.
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