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(a) During MCO, a bookstore sold 3 units of dictionaries, and 3 units of comics, and purchased 2 units of novels on day one. On day two, the bookstore purchased 3 units of novels and sold 4 units of dictionaries, and one unit of comic. On the third day, the bookstore sold 2 units of dictionaries, one unit of novel, and purchased 2 units of comic. The bookstore earned RM 100 on day one, RM 90 on day two and RM 120 on day three after the sales and purchases. Given the price of dictionary, novel, and comic are x, y, and z ringgit per unit respectively. AN UNT Write the system of linear equations. Hence, determine the prices per unit of dictionary, comic, and novel. Find the inverse matrix using Gauss-Jordan elimination method on augmented matrix. Hence, solve the system of linear equations using the inverse matrix.

(a) During MCO, a bookstore sold 3 units of dictionaries, and 3 units of comics, and purchased 2 units of novels on day one. On day two, the bookstore purchased 3 units of novels and sold 4 units of dictionaries, and one unit of comic. On the third day, the bookstore sold 2 units of dictionaries, one unit of novel, and purchased 2 units of comic. The bookstore earned RM 100 on day one, RM 90 on day two and RM 120 on day three after the sales and purchases. Given the price of dictionary, novel, and comic are x, y, and z ringgit per unit respectively. AN UNT Write the system of linear equations. Hence, determine the prices per unit of dictionary, comic, and novel. Find the inverse matrix using Gauss-Jordan elimination method on augmented matrix. Hence, solve the system of linear equations using the inverse matrix.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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(a) During MCO, a bookstore sold 3 units of dictionaries, and 3 units of comics, and purchased 2 units of novels on day one. On day two, the bookstore purchased 3 units of novels and sold 4 units of dictionaries, and one unit of comic. On the third day, the bookstore sold 2 units of dictionaries, one unit of novel, and purchased 2 units of comic. The bookstore earned RM 100 on day one, RM 90 on day two and RM 120 on day three after the sales and purchases. Given the price of dictionary, novel, and comic are x, y. and z ringgit per unit respectively. AN, UN Write the system of linear equations. Hence, determine the prices per unit of dictionary, comic, and novel. Find the inverse matrix using Gauss-Jordan elimination method on augmented matrix. Hence, solve the system of linear equations using the inverse matrix.
Transcribed Image Text:(a) During MCO, a bookstore sold 3 units of dictionaries, and 3 units of comics, and purchased 2 units of novels on day one. On day two, the bookstore purchased 3 units of novels and sold 4 units of dictionaries, and one unit of comic. On the third day, the bookstore sold 2 units of dictionaries, one unit of novel, and purchased 2 units of comic. The bookstore earned RM 100 on day one, RM 90 on day two and RM 120 on day three after the sales and purchases. Given the price of dictionary, novel, and comic are x, y. and z ringgit per unit respectively. AN, UN Write the system of linear equations. Hence, determine the prices per unit of dictionary, comic, and novel. Find the inverse matrix using Gauss-Jordan elimination method on augmented matrix. Hence, solve the system of linear equations using the inverse matrix.
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