Chapter 3: Section 6 Notes
By the end of the section, you should be able to:
- Use matrices to represent and solve systems of equations
Definitions:
- Matrix: a rectangular array of numbers
- Ex. [ 1 3 5 ]
- Dimension (of a matrix): how a matrix looks by stating the number of rows by the number of columns.
- Ex. Matrix A above, would have a dimension of 1 x 3 since it has 1 row and 3 columns.
- Element: A specific number in a matrix.
- Each element is identified on a lowercase variable as a subscript of the row number followed by the column number.
- The element of 3 in Matrix A above, would be identified as: a12.
Representing a system of equations as a matrix.
🎥 Example 1 🎥 Example 2-3
🎥 Example 1 🎥 Example 2-3
Calculations Performed on a Matrix
🎥 Explained
🎥 Explained
Linear Programming Word Problems
🎥 Example 4
🎥 Example 4
🎥 Example 4
Things/Steps to remember for using Matrices to solve systems of equations:
- Convert a system of equations in to an augmented matrix.
- You may only perform the row operations listed above
- The goal is to get each column to have all 0’s and only one 1.
Section 3.6 Worksheet |
Section 3.6 WS Answers |
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