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4.3 M ULTIPLYING MATRICES. You can multiply matrices if and only if: the number of columns in the first matrix is the same as the number of rows in the.

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Presentation on theme: "4.3 M ULTIPLYING MATRICES. You can multiply matrices if and only if: the number of columns in the first matrix is the same as the number of rows in the."— Presentation transcript:

1 4.3 M ULTIPLYING MATRICES

2 You can multiply matrices if and only if: the number of columns in the first matrix is the same as the number of rows in the second matrix Ex: A 5 x 3 and B 3 x 4 = AB If the matrices cannot be multiplied = product matrix is not defined 5 x 4

3

4 F IND RS IF

5 A T A SWIMMING MEET 6 POINTS ARE AWARDED FOR 1 ST PLACE, 4 POINTS FOR 2 ND PLACE, AND 3 POINTS FOR 3 RD PLACE. 2. The chart shows how many swimmers placed in each position through the meet for the four participating schools. Write a set of matrices to model the points earned. Which team won the meet? School1 st Place2 nd Place3 rd Place Central Dauphin473 Cumberland Valley881 Hershey1053 Carlisle336

6 C OMMUTATIVE P ROPERTY – D OES IT WORK FOR MATRICES ?

7 D ISTRIBUTIVE P ROPERTY – D OES IT WORK FOR MATRICES ?

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