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Warm-up

Warm-up. Rick has 11 coins in his pocket worth $2.30. Some are dimes and some are quarters. How many of each coin does he have?. Sections 12.1 and 12.2: Operations with Matrices. September 19, 2013. Defining Matrices.

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Warm-up

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  1. Warm-up Rick has 11 coins in his pocket worth $2.30. Some are dimes and some are quarters. How many of each coin does he have?

  2. Sections 12.1 and 12.2: Operations with Matrices September 19, 2013

  3. Defining Matrices • Use matrices to represent data. Data in a table can be represented in a matrix. • Matrices are named by the dimensions row x column and the number inside a matrix is called an element. • Elements and what they mean:

  4. Adding Matrices • To add matrices, the dimensions must be the same! • Does the commutative property of addition apply for matrices? Why/why not?

  5. Subtracting Matrices • To subtract matrices, the dimensions must be the same!

  6. Scalar Multiplication • If given a matrix A = , find -2A. • -3C • 2B – C • -3B – 2A

  7. Equal Matrices • Two matrices are equal if the dimensions are the same and the corresponding elements are equal!

  8. Multiplying Matrices • In order to multiply matrices, they must be compatible. This means that the number of columns in matrix “A” must be the same as the number of rows in matrix “B.” • AB • BC • AC • CA

  9. Real Life Example • Two softball teams submit equipment lists to their sponsors. • If a bat costs $21, a ball costs $4, and a glove costs $30, use matrices to find the total cost of equipment for each team.

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