math iii warm up9/4/13. what is the multiplicative identity of a 3x3 matrix? the additive identity?
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![Page 1: Math III Warm Up9/4/13. What is the multiplicative identity of a 3x3 matrix? The additive identity?](https://reader033.vdocuments.mx/reader033/viewer/2022061508/5697bf781a28abf838c81a85/html5/thumbnails/1.jpg)
Math III Warm Up 9/4/13
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What is the multiplicative identity of a 3x3 matrix? The additive identity?
![Page 5: Math III Warm Up9/4/13. What is the multiplicative identity of a 3x3 matrix? The additive identity?](https://reader033.vdocuments.mx/reader033/viewer/2022061508/5697bf781a28abf838c81a85/html5/thumbnails/5.jpg)
•A collection of points and line segments connecting some (possibly empty) subsets of the points
Vertex
EdgeA B
C
D F
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Goal: Use vertex-edge graphs to represent real-life situations
Transportation:
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Goal: Use vertex-edge graphs to represent real-life situations
Example 1
• An airline serves four cities: Bedford, Columbia, Dunwich, and Exton. There are flights between Bedford and Columbia, Bedford and Dunwich, and Columbia and Exton. Draw a simple undirected vertex-edge graph to represent this situation.
STEP ONE: REPRESENT
STEP TWO: DRAW
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Goal: Use vertex-edge graphs to represent real-life situations
Example 2 • An airline serves five cities: Lowell,
Montour, Atlanta, Orlando, and Peoria. There are flights between Lowell and Montour, Lowell and Orlando, Montour and Orlando, Atlanta and Orlando, and Atlanta and Peoria. Draw a simple undirected vertex-edge graph to represent this situation.
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Goal: Use vertex-edge graphs to represent real-life situations
![Page 10: Math III Warm Up9/4/13. What is the multiplicative identity of a 3x3 matrix? The additive identity?](https://reader033.vdocuments.mx/reader033/viewer/2022061508/5697bf781a28abf838c81a85/html5/thumbnails/10.jpg)
CONNECTION ALERT!Example 3
Use a MATRIX to represent the vertex edge graph from example 1.
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• By taking the square of the matrix, you can find out the number of 2 route possibilities between 2 cities.