Do Now: Add or subtract, if possible. 1.) 2.). Academy Algebra II/Trig 12.4: Matrix Algebra HW: p.889 (8, 9, 12, 13, 16, 17, 21)

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Presentation transcript:

Do Now: Add or subtract, if possible. 1.) 2.)

Academy Algebra II/Trig 12.4: Matrix Algebra HW: p.889 (8, 9, 12, 13, 16, 17, 21)

Scalar Multiplication. Given, ; find the following: 1.) 3A2.) -B

# columns of the first must be the same as the # rows of the second matrix. (r x c)(r x c) Multiplying Matrices

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Operations Using Matrices Find AB if

Operations Using Matrices Do Now: Find the product AB if

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Identity Matrix An identity matrix has the same number of rows and columns with the 1’s on the main diagonal and zeros for all other cells.

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Input Matrices on TI-89 Calculator: 1. Press APPS and select Data/Matrix 2. Select 3: New 3. Type– 2: Matrix, Folder– Main, Variable– a 4. Press ENTER, ENTER 5. Input Matrix A. 6. Repeat the steps above for matrix B. 7. Press HOME. 8. On the home screen you can add/subtract/multiply matrices. ** If you want to rewrite over a current matrix you can resize it by selecting F6 once you have opened the matrix. **

Input Matrices on TI-83/84 Calculator: 1. Press 2 nd X -1 to select MATRX 2. Arrow over to EDIT 3. Select a matrix to edit 4. Input the dimensions and # of the Matrix. 5. Repeat the steps above for matrix B. 6. Press 2 nd MODE to select QUIT and go back to home screen. 7. On the home screen you can add/subtract/multiply matrices: go to matrix menu and select matrices from the names menu.