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Matrix Operations: Adding, Subtracting, and Multiplying

Learn how to add, subtract, and multiply matrices, solve matrix equations, and identify equal matrices. Practice with examples and assignments to enhance your understanding of matrix operations.

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Matrix Operations: Adding, Subtracting, and Multiplying

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  1. (4-2) Adding and Subtracting Matrices Objectives: To Add and subtract Matrices To solve certain Matrix equations

  2. Warm-Up: Simplify the elements of each matrix.

  3. You can perform Matrix Addition on matrices with equal dimensions by adding their corresponding elements. Statistics Use the data in the table. a. Write two 2 x 4 matrices to represent the mean verbal and math SAT scores.

  4. b. Find the combined mean SAT scores for each year in the table.

  5. Ex 2

  6. Zero Matrix The additive identity matrix for the set of all m x n matrices is the Zero Matrix. Ex 3

  7. Ex 4

  8. Ex 5

  9. Ex 6

  10. A Matrix Equation is an equation in which the variable is a matrix.You can use the addition and subtraction properties of equality to solve matrix equations. ex 7

  11. Ex 8

  12. Ex 9

  13. Equal Matrices are matrices with the same dimensions and equal corresponding elements. ex 10

  14. ex 11 Determine whether the two matrices in each pair are equal.

  15. ex 12

  16. ex 13. Solve for x and y

  17. Try This:How would you solve this?

  18. Assignment Page 178 # 2 - 20 Even

  19. 4-3 Matrix Multiplication • Objective: To multiply a matrix by a scalar multiple

  20. Ex 13

  21. Ex 14

  22. Ex 15

  23. Ex 16

  24. Additional Assignment Pg 186 2-10 evens

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