Algebra 2 4.2 Notes - 4.2 Multiplying Matrices Goals p...

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Find AB if A ± ±² and B ± . Solution AB ± ± ± 51 ² 13 26 17 ² 20 2( 3 ) ³ 1( ² 1 )2 ( ² 2 ) ³ 1( 5 ) ² 3( 3 ) ³ 4( ² 1 ) ² 3( ² 2 ) ³ 4( 5 ) 5( 3 ) ² 2( ² 1 )5 ( ² 2 ) ² 2( 5 ) 3 ² 2 ² 15 21 ² 3 4 5 ² 2 3 ² 2 ² ² 3 4 5 ² 2 Example 2 Finding the Product of Two Matrices Multiplying Matrices Goals p Multiply two matrices. p Use matrix multiplication in real-life situations. 4.2 Your Notes State whether the product AB is defined. If so, give the dimensions of AB . a. A : 3 ´ 4, B : 2 ´ 4 b. A : 3 ´ 4, B : 4 ´ 3 Solution a. Because the number of columns in A (four) does not equal the number of rows in B (two), the product AB is not defined. b. Because A is a 3 ´ 4 matrix and B is a 4 ´ 3 matrix, the product AB is defined and is a 3 ´ 3 matrix. Example 1 Describing Matrix Products Lesson 4.2 Algebra 2 Notetaking Guide 79
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Your Notes Checkpoint Complete the following exercise. 1. Given A and B , give the dimensions of AB . Then find AB .
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Algebra 2 4.2 Notes - 4.2 Multiplying Matrices Goals p...

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