Teacher's Guide - Pearson

(g)(6 13211 187 21Activity 5.1 (Student’s Book page 81)(1. Product equals R 13 C 1R 13 C 2for 2 3 2 matrices.R 23 C 1R 23 C 2(In other words, multiply each element in row 1 by each element of the sameposition in column 1, and so on.Note: Ensure that students understand how to add and subtract matrices and why itis important to know this skill. You can introduce the use of a calculator here, butensure that students first understand the mechanism of multiplication.2. DE: (3 3 0) 1 (6 3 21DF: (1 3 2) 1 (5 3 5)(3 3 2) 1 (6 3 5)KF: (3 3 1) 1 (1 3 3); (3 3 2) 1 (1 3 5)(1 3 2) 1 (3 3 5)(22 3 1) 1 (1 3 3); (22 3 21) 1 (1 3 2)3. The first row and the second column give the order. A 2 3 2 times a 2 3 2 yieldsa 2 3 2 matrix; a 4 3 2 times a 2 3 3 yields a 4 3 3 matrix.Activity 5.2 (Student’s Book page 83)1. a) Yes; 2 3 4b) Yes; 3 3 6c) Yes; 1 3 1d) Noe) Yes; 1 3 3f) Nog) Noh) Noi) Yes; 10 3 12j) No2. a) Any two matrices where the number of columns in matrix 1 is equal to thenumber of rows in matrix 2.b) Any two matrices where the condition in question 2a) is not met.Exercise 5.2 (Student’s Book page 84)1. No product is possible.2. 1 3 2; (23 15)Chapter 5: Matrices29