1. Warm up (5, 7 4 ) Write the solution of the following system:
𝒙+𝟒𝒚=𝟏𝟐 𝟒−𝟖𝒚=−𝟐𝒙
(5, )

2. Solving Systems with Matrices
Objective:
I can use matrices to solve systems.

3. 𝐴 = 2 5 11 3 −2 5 Matrix: A rectangular array of numbers.
Dimensions: rows × columns
𝐴 = −2 5
Matrix Name

4. Systems to matrices [2nd],[x-1],[►] ,[►], [enter]
rref
matrix
[2nd],[x-1],[►] ,[►], [enter]
enter number of rows [enter]
enter number of columns [enter]
enter matrix (coefficients);
[2nd], [mode] this takes you to the home screen (blank)
[2nd],[x-1],[►], [alpha],[apps]
[2nd],[x-1],[enter],[enter]
The solution is the far right column, written as a coordinate.

5. Systems to matrices 2 1 5 5 3 13 2𝑥+𝑦=5 5𝑥+3𝑦=13 1 0 2 0 1 1 rref rref
matrix
rref
2𝑥+𝑦=5 5𝑥+3𝑦=13
matrix
(𝟐,𝟏)

6. Solve each system using matrices
Solution: ( , )
Solution:
( , , )
Matrix Lesson. After graphing, substitution and linear combination

7. Solve each system using matrices
Solution: ( -1.5, -0.5)
Solution:
( -2 , 3, 5)
p.179:15-20, 24-27, 32, 33, 36, 37 (due Thursday)
Matrix Lesson. After graphing, substitution and linear combination