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9.2 Use Properties of Matrices

Discover the properties of matrices in this chapter, from symbolic organization to operations like addition and multiplication. Learn how matrices can represent points and polygons efficiently. Explore various types, such as preimage, translation, and image matrices.

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9.2 Use Properties of Matrices

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  1. 9.2 Use Properties of Matrices Chapter 9 Properties of Transformations

  2. What is a MATRIX • Symbolic organization of numbers • Arranged in a rectangular pattern of rows and columns • Named by its dimension as ROW x COLUMN

  3. Parts of a Matrix column row This is a 3 x 4 matrix. “3 by 4”

  4. Representing a point using a Matrix A 2 x 1 matrix is used to represent a point.

  5. Representing a polygon in a matrix

  6. Adding Matrices • Must have same dimensions • Resulting matrix has the same dimensions • Add corresponding elements and place in corresponding location of the resulting matrix.

  7. Multiplying Matrices • Number of Columns of 1st must match Number of Rows of • Resulting Matrix has the dimension of Rows of 1st x Columns of Second

  8. Example

  9. Example

  10. Example

  11. Types of Matrix • Preimage • Translation • Image

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