3 12 12 14 9 4 11 87 24 03 using matrix operations 3

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Unformatted text preview: 1 0 simplify each expression. If A a. (A 1 0 Finding the Product of Two Matrices Example 3 If A 2 3 B)C 1 , and C 3 b. AC 42 , 32 BC Solution 80 Algebra 2 Notetaking Guide • Chapter 4 BC 1 1 2 0 2 4 42 32 3 2 1 1 42 32 9 5 b. AC B)C 3 2 5 2 a. (A 8 6 5 9 1 3 42 32 14 4 2 0 6 6 14 12 1 3 14 4 42 32 14 12 Your Notes PROPERTIES OF MATRIX MULTIPLICATION Let A, B, and C be matrices and let c be a scalar. Associative Property of Matrix Multiplication Left Distributive Property A(B (AB)C A(BC) Associative Property of Scalar Multiplication Example 5 c(AB) AB AC B)C Right Distributive Property (A C) AC BC (cA) B A (cB) Using Matrices to Calculate the Total Cost Tim wants 4 notebooks, 5 pens, and 10 pencils for the new school year. Leslye wants 5 notebooks, 8 pens, and 8 pencils. Each notebook is $4, each pen is $2, and each pencil is $1. Use matrix multiplication to find the total cost for each person. Solution Write the supplies and the costs in matrix form. Set up the matrices so that the columns of the supplies matrix match the rows of the cost matrix. Supplies Notebooks Pens Pencils Tim 4 5 10 5 8 8 Leslye Cost Dollars Notebooks 4 Pens 2 Pencils 1 The total cost for each person can be obtained by multiplying the supplies matrix by the cost matrix. 4 4(4) 5(2) 10(1) 2 5(4) 8(2) 8(1) 1 The labels for the matrix are as follows. 4 5 10 58 8 Homework 36 44 Total Cost Dollars Tim 36 Leslye 44 The total cost of supplies is $ 36 for Tim and $ 44 for Leslye. Lesson 4.2 • Algebra 2 Notetaking Guide 81...
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This document was uploaded on 03/12/2014 for the course ALGEBRA RMHS Algeb at Richard Montgomery High.

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