1. A matrix is a rectangular array of elements. The dimensions of a matrix are expressed as rows by columns. Column 1 Column 2 Column 4 Column 3 Row 1 Row 2 Dimensions: 3 x 4 Row 3

2. State the dimensions of matrix G 2 rows 4 columns Answer:The dimensions of matrix G are 2  4. Example 1-2a

3. State the dimensions of matrix G Answer: 3  2 Example 1-2b

4. Solve for x and y. Since the matrices are equal, the corresponding elements are equal. Answer: The solution is (1, 1). Example 1-3a

5. Solve for x and y. y = 3x – 1 2x = y – 1 2x = (3x – 1) – 1 2x = 3x – 2 -x = -2 x = 2 y = 3x – 1 y = 3(2) – 1 y = 6 – 1 y = 5 Answer:(2, 5) Example 1-3d

6. Kaitlin wants to attend one of two Iowa universities next year.She has gathered information about tuition (T), room and board (R/B), and enrollment (E) for the universities. Use a matrix to organize the information. University of Iowa:T - $3204 R/B - $4597 E - 28,311 University of Northern Iowa:T - $3130 R/B - $4149 E - 14,106 Example 1-1a

7. Two matrices can be added or subtracted if they have the same dimensions. To add or subtract two matrices, add or subtract their corresponding elements.

8. Find Example 2-1a

9. Find 2  2 2  3 Matrices cannotbe added. Example 2-1b

10. Find Answer: Example 2-2a

11. To multiply a matrix by a scalar, multiply every element by the scalar.

12. Example 2-4a

13. 8 12 -6 3 -4 0 0 -3 9 14 -4 3 Example 2-5a