1. Matrices: Simplifying Algebraic Expressions Combining Like Terms & Distributive Property

2. Matrix Rectangular arrangement of numbers into rows and columns.

3. Matrix Row: horizontal arrangement of numbers Column: vertical arrangement of numbers This matrix has 3 rows and two columns.

4. Matrix Vocabulary The plural form of matrix is matrices. The numbers in a matrix are called elements or entries. A matrix that has the same number of rows as columns is called a square matrix.

5. Dimension of a matrix Dimension is determined by: Row x Column This matrix has a dimension of 2 x 3 or 2 by 3.

6. Operations with Matrices To add or subtract matrices, matrices must have the same dimensions. To add or subtract matrices, add or subtract corresponding entries to form one matrix. Corresponding entries have the same row number and the same column number.

7. Operations with Matrices Examples: 1. [A] + [B]2. [A] – [B]3. [B] – [A]

8. Operations with Matrices Example: 4. [C] + [D]5. [C] – [D]

9. Scalar Multiplication Scalar Multiplication: multiplication of a matrix by a real number. To multiply a matrix by a scalar, multiply each entry by the real number to form a new matrix. Real numbers are sometimes called scalars.

10. Scalar Multiplication Example: 6. 9[E]7. –3[F]

11. Let’s Practice! Complete page 28, problems 38-41. Complete page 35, problems 56-58. Complete page 43, problems 90-95. NO CALCULATOR!