1 Unit 7, Lesson 4 Trigonometry / Pre-CalculusMatrices and Systems of Equations
2 Solve the system of equationsDo Now
3 Solve the system of equationsDo Now
4 Matrices
5 Matrices
6 Matrices
7 Matrices
8 Matrices
9 Matrices
10 Matrices
11 Matrices
12 Matrices
13 Matrices
14 Matrices
15 Matrices
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17 Matrices
18 Matrices
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20 Matrices
21 Matrices
22 Matrices
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. Matrices Wilhelm Jordan
24 Matrices
25 Matrices
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27 Matrices
28 Matrices
29 Matrices
30 Matrices
31 So how do you get this on your calculator?Catalog button Matrices
32 5 m-by-n matrix Matrices
33 Enter the right numbers for the size of the matrixMatrices
34 Enter the values in the matrixMatrices
35 The function rref() is for reduced row echelon formMatrices
36 How to complete on a TI-84 Use the 2nd MATRIX button to define a matrix, remember the letter assigned to your matrix Matrices
37 Use the 2nd CATALOG button to find the function rref(), use the alpha keys to move to letters quicker rref( Matrices
38 Add the matrix name after the parenthesis, with the matrix button againrref([A]) Matrices
39 Matrices
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42 Matrices
43 Matrices
44 Matrices
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46 Matrices
47 Matrices
48 Matrices
49 Matrices
50 Matrices
51 (3,5,1) Solve the system of equations x – y + 5z = 3 x + 2y – 6z = 7Matrices
52 (-10,5,-2) Solve the system of equations 11x + 22y – 11z = 22Matrices
53 (-37,12,-5) Solve the system of equations 6x + 18y – 6z = 24Matrices
54 Inconsistent Solve the system of equations x – 8y + 4z = 11Matrices
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) Matrices
56 Solve the system of equationsx y – 4z – 5w = 14 x y – 4z – 5w = 21 2x + 2y – 8z – 10w = 14 (4m+5n,7,m,n) Matrices
57 Matrices
58 Matrices
59 Matrices
60 Matrices
61 Homework Page 499 – 503 7,9,11,17,23-27 35, 41, 61, 63, 65, 75, 80 Matrices
62 a. b. c. Do Now
63 a. b. c. Do Now