By acquisition any advanced math course or even scanning v this website, you quickly learn how an effective a graphing calculator have the right to be. A more “theoretical” food like straight algebra is no exception. In fact, as soon as you know just how to do something favor finding an inverse matrix by hand, the calculator can cost-free you increase from the calculation and let you emphasis on the huge picture.

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Remember, no every matrix has actually an inverse. The matrix picked below is invertible, meaning it walk in reality have one inverse. We will certainly talk around what happens once it isn’t invertible a small later on. Below is the procession we will usage for ours example:

( left< eginarraycccc 8 & 2 & 1 & 6 \ 8 & 4 & 1 & 1 \ 0 & 2 & 6 & 4 \ 15 & 8 & 9 & 20 endarray ight>)

Note: for a video of this steps, scroll down.

Step 1: obtain to the Matrix editing Menu

This is a much more involved action than it sounds like! If you have actually a TI 83, over there is just a switch that states “MATRIX”. This is the button you will certainly click to acquire into the modify menu. If you have actually a TI84, friend will have to press <2ND> and <(x^-1)>. This will take you into the menu you check out below. Move your cursor to “EDIT” in ~ the top.

Now you will select matrix A (technically you can select any type of of them, yet for now, A is simpler to transaction with). To do this, just hit .


Step 2: enter the Matrix

First, you should tell the calculator how big your matrix is. Just remember to keep it in stimulate of “rows” and “columns”. For example, our instance matrix has actually 4 rows and also 4 columns, for this reason I form 4 4 .

Now you can get in the number from left to right. After every number, push to gain to the next spot.

Now, prior to we acquire to the next step. On some calculators, friend will acquire into a strange loop if you don’t quit out of this menu now. So, push <2ND> and to quit. As soon as you perform this, it will certainly go ago to the main screen.

Step 3: pick the procession Under the name Menu

After you have actually quit by click <2ND> and , go ago into the matrix menu by click <2ND> and <(x^-1)> (or just the matrix button if you have actually a TI83). This time, pick A indigenous the NAMES menu by clicking .


Step 4: press the Inverse key <(x^-1)> and Press Enter

The easiest step yet! all you need to do now, is phone call the calculator what to perform with procession A. Due to the fact that we want to uncover an inverse, that is the button we will use.

At this stage, you deserve to press the best arrow vital to see the entire matrix. Together you have the right to see, our inverse here is yes, really messy. The next step can help us follow me if we need it.

Step 5: (OPTIONAL) convert Everything come Fractions

While the train station is ~ above the screen, if you press , 1: Frac, and also then ENTER, friend will convert everything in the procession to fractions. Then, as before, you deserve to click the appropriate arrow vital to check out the totality thing.

That’s it! that sounds prefer a lot yet it is actually an easy to gain used to. It’s beneficial too – gift able to go into matrices right into the calculator allows you include them, lot of them, etc! Nice! If you want to view it all in action, take it a look at the video clip to the appropriate where ns go with the measures with a various example. Also with the optional step, it takes me much less than 3 minute to walk through.

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Oh yes – for this reason what happens if your matrix is singular (or no invertible)? In other words, what happens if your procession doesn’t have actually an inverse?

As you can see above, your calculator will certainly TELL YOU. Exactly how nice is that?

Video walkthrough

The following video will go you v the actions above.

Additional reading

You may additionally find it useful to have the ability to row mitigate a matrix using your calculator or also multiply matrices.