Warm up (5, 7 4 ) Write the solution of the following system:

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

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

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

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. https://www.youtube.com/watch?v=wBmWsW26U7s

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

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

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