1. Unit 7, Lesson 4 Trigonometry / Pre-Calculus
Matrices and Systems of Equations

2. Solve the system of equations
Do Now

3. Solve the system of equations
Do Now

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23. Instead of stopping with row-echelon form, you could continue the process to “reduced row-echelon” form, which is triangular, with zeros after the variables, as in the next example.
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Wilhelm Jordan

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31. So how do you get this on your calculator?
Catalog button
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32. 5 m-by-n matrix
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33. Enter the right numbers for the size of the matrix
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34. Enter the values in the matrix
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35. The function rref() is for reduced row echelon form
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36. How to complete on a TI-84
Use the 2nd MATRIX button to define a matrix, remember the letter assigned to your matrix
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37. Use the 2nd CATALOG button to find the function rref(), use the alpha keys to move to letters quicker
rref(
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38. Add the matrix name after the parenthesis, with the matrix button again
rref([A])
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51. (3,5,1) Solve the system of equations x – y + 5z = 3 x + 2y – 6z = 7
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52. (-10,5,-2) Solve the system of equations 11x + 22y – 11z = 22
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53. (-37,12,-5) Solve the system of equations 6x + 18y – 6z = 24
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54. Inconsistent Solve the system of equations x – 8y + 4z = 11
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55. (7k-4,4k+1,k) Solve the system of equations -5x – 10y + 75z = 10
– x z = 4
x y – 11z = – 3
(7k-4,4k+1,k)
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56. Solve the system of equations
x y – 4z – 5w = 14
x y – 4z – 5w = 21
2x + 2y – 8z – 10w = 14
(4m+5n,7,m,n)
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61. Homework
Page 499 – 503
7,9,11,17,23-27
35, 41, 61, 63, 65, 75, 80
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62. a. b. c.
Do Now

63. a. b. c.
Do Now