Friday, August 9, 2013

Find an Inverse Matrix on a Graphing Calculator

An inverse matrix is the reciprocal of a matrix. A matrix times its inverse equals 1, which is called the Identity Matrix. For a matrix to have an inverse, it must be a square meaning it has to have the same number of rows and columns. Finding the inverse of a matrix by hand is simple, but it's even easier on a graphing calculator such as the TI-83.

Instructions
1. Press the "MATRX" button from the home page on the graphing calculator.

2. Enter a matrix into the calculator if you do not already have one entered. To enter a matrix, press the arrow that points to the right two times when the cursor highlights letter "A." This will move the top cursor to "Edit." Press "Enter" to select the "Edit" option.

3. Enter the matrix's numbers into the matrix on the calculator. Press "Enter" to move the cursor over one column. Press a button that has a dash symbol within parenthesis [( - )] to move down one row. Repeat the steps until the matrix is completed.

4. Press "2nd" then "Mode" to go back to the home screen. Press "MATRX" to enter the matrix screen again.

5. Press "Enter" when the cursor highlights matrix "A" then press "[x^ -1]." Your screen should read "[A]^ -1." Press "Enter" again to display the inverse matrix.

Graph With TI Calculators

Texas Instruments is a leading manufacturer of a variety of electronics products. Among their most popular products are their TI calculators which students and educators both use, especially when graphing functions. How to graph with TI calculators can seem challenging at first, but once you learn the basics, it is easily mastered and makes the graphing process much easier than the pen and paper method.

Instructions
1. Press the "Y =" button to input one or more functions to be graphed.

2. Press the "Window" button to denote the viewing variables for the x and y axis.

3. Press the "2nd" button and then the "Format" button to set the graph format settings (e.g. denote whether or not you want the coordinates of the axis displayed, whether you want the grid displayed, etc.).

4. Press the "Graph" button to view your graph.


Tips & Warnings
- Your function must be in slope-intercept form (y = mx + b) in order for your linear equation to graph on your calculator correctly.
- Press the "2nd" button and then the "Graph" button to see a table of the x and y values for each point on your graph.
- Press the up, down, left and right arrow keys to move the cursor on your graph and locate a specific point.
- If your line is not displayed on your graph, press "Window" and adjust your x and y axis settings to larger numbers.