Warm-Up - 8/30/2010 Simplify. 1.) 2.) 3.) 4.) 5.) 56 -40 -40 56 1.

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Presentation transcript:

Warm-Up - 8/30/2010 Simplify. 1.) 2.) 3.) 4.) 5.) 56 -40 -40 56 1

Agenda 8/30/2010 Warm-Up Notes Perform Basic Matrix Operations Tue Aug 31 Multiply Matrices Warm-Up Notes Perform Basic Matrix Operations Practice WEB Sept 1 Multiply Matrices Thu Sept 2 Review You MUST have a GRAPHING CALCULATOR for this unit. Fri Sept 3 Quiz NON - CALCULATOR

1.8 Perform Basic Matrix Operations Page 38

Matrix (matrices) Row 1 Row 2 Row 3 Row m Column 1 Column 2 Column 3

Row, Row, Row then Column That’s the Matrix way Entries, Dimensions, Multiplication It’s row then the column!

A matrix of m rows and n columns is called a matrix with dimensions m x n. Ex. Find the dimensions. 2 X 3 3 X 3 2 X 1 1 X 2

To add matrices, we add the corresponding elements To add matrices, we add the corresponding elements. They must have the same dimensions. A + B

To subtract matrices, we subtract the corresponding elements To subtract matrices, we subtract the corresponding elements. The matrices must have the same dimensions.

Not possible – dimensions don’t match

Scalar Multiplication: We multiply each # inside our matrix by k.

Multi-Step Problems Solve the matrix equation for x and y: Equate corresponding elements and solve the two resulting equations

Find C + D Find C + C Find 3D + 3C Find D – A

Find A + B Find A + C Find 2A + 3B Find D – B

Find ½B Find -5D Find D – C Find B – A

Practice: Worksheet #1