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Lesson 2: Multiplying Matrices

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1 Lesson 2: Multiplying Matrices
Accel Precalc Unit 3: Matrices Lesson 2: Multiplying Matrices EQ: How do you multiply matrices?

2 Condition Necessary to Multiply two Matrices:
Since each matrix represents an array of data, rules for multiplying them together depends on the position of each entry. Condition Necessary to Multiply two Matrices: # of columns of 1st matrix = # of rows of 2nd matrix

3 AB will result in a 3 x 2 matrix.
Given matrix A and matrix B with the following dimensions: AB will result in a 3 x 2 matrix.

4

5

6 Ex. 1 Matrix D is a __ by __. Matrix A is a __ by __. 2 x x 2 Therefore the product WILL exist. It will be a ___ by ___ matrix.

7 Product will be a ____ x ____ matrix.
Process to Multiply Matrices: 2 x x 2 Product will be a ____ x ____ matrix. AB =

8 AB =

9 Ex. 2 Find the product given  
a) JK b) KJ

10 Ex. 3 Find the product given
a) RW b) WR

11 Ex. 4 Find each product given
BA b) (CB)A

12 ASSIGNMENT: Textbook p. 577 – 578 #3, 7, 17, 33 – 35, 39


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