Solve the following using the principle of the matrix inverse, using any of the appropriate methods. Show your solutions clearly and systematically. 1. At a hardware store, Blair pays P2,000 for a box of nails, three bags of cement and four sheets of plywood. Chuck pays P3,500 for two boxes of nails, two bags of cement and seven sheets of plywood. Dan pays P2,600 for four boxes of nails, ten bags of cement and one sheet of plywood. What are the prices for each box of nails, bag of cement and sheet of plywood?

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.1: Operations With Matrices
Problem 81E
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Solve the following using the principle of the matrix inverse, using any of the
appropriate methods. Show your solutions clearly and systematically.
1. At a hardware store, Blair pays P2,000 for a box of nails, three bags of cement
and four sheets of plywood. Chuck pays P3,500 for two boxes of nails, two
bags of cement and seven sheets of plywood. Dan pays P2,600 for four boxes
of nails, ten bags of cement and one sheet of plywood. What are the prices for
each box of nails, bag of cement and sheet of plywood?
4x – 2y + 3z = 1
2. {x + 3y – 4z = -7
Зх + у + 2z — 5
2a + 5b + 4c +d = 20
a + 3b + 2c + d = 11
3.
2a + 10b + 9c + 7d = 40
3a + 8b + 9c + 2d = 37
Transcribed Image Text:Activity Solve the following using the principle of the matrix inverse, using any of the appropriate methods. Show your solutions clearly and systematically. 1. At a hardware store, Blair pays P2,000 for a box of nails, three bags of cement and four sheets of plywood. Chuck pays P3,500 for two boxes of nails, two bags of cement and seven sheets of plywood. Dan pays P2,600 for four boxes of nails, ten bags of cement and one sheet of plywood. What are the prices for each box of nails, bag of cement and sheet of plywood? 4x – 2y + 3z = 1 2. {x + 3y – 4z = -7 Зх + у + 2z — 5 2a + 5b + 4c +d = 20 a + 3b + 2c + d = 11 3. 2a + 10b + 9c + 7d = 40 3a + 8b + 9c + 2d = 37
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