[C.18] Using rref on a graphing calculator
8328 views
|
1
rating
Part of video series
Lesson Summary:
In this lesson, you will learn how to use the RF command on a graphing calculator to solve a system of equations written as an augmented matrix. By applying RF to the matrix, the calculator will put it in reduced row echelon form and allow you to read off the answer to the problem you're trying to solve. This skill is helpful for solving systems of linear equations and can simplify the process for you.
Lesson Description:
Learn how to use rref (reduced row echelon form) on a graphing calculator to solve a system of equations written as an augmented matrix.
Check out www.themathdude.org for more videos.
Questions answered by this video:
- What is rref (reduced row echelon form) and how do you use it to reduce a matrix on a TI graphing calculator?
- How do you use the MATH > rref( function on a TI graphing calculator and what does it do?
-
Staff Review
This lesson will show you how to use reduced row echelon form on a TI graphing calculator (again, much easier on a calculator than by hand). This is very useful, especially once you get to higher math classes such as Linear Algebra.
![[C.1] Calculator Introduction & Basic Arithmetic preview image](https://www.mathvids.com/rails/active_storage/representations/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaHBBZ0FEIiwiZXhwIjpudWxsLCJwdXIiOiJibG9iX2lkIn19--8614af2c638a261259d38618384d17d9b4a458fb/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaDdCam9VY21WemFYcGxYM1J2WDJ4cGJXbDBXd2RwQVpacGN3PT0iLCJleHAiOm51bGwsInB1ciI6InZhcmlhdGlvbiJ9fQ==--fd851aaa3027f3a83a588ba5d0f1fd585b3d8659/%5Bc.1%5D%20calculator%20introduction%20&%20basic%20arithmetic.jpg)
![[C.2] Calculator MODE and FORMAT Menus preview image](https://www.mathvids.com/rails/active_storage/representations/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaHBBa01IIiwiZXhwIjpudWxsLCJwdXIiOiJibG9iX2lkIn19--06e123abb5ff17a12d4fa6d9acdcf57b5648022e/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaDdCam9VY21WemFYcGxYM1J2WDJ4cGJXbDBXd2RwQVpacGN3PT0iLCJleHAiOm51bGwsInB1ciI6InZhcmlhdGlvbiJ9fQ==--fd851aaa3027f3a83a588ba5d0f1fd585b3d8659/%5Bc.2%5D%20calculator%20mode%20and%20format%20menus.jpg)
![[C.3] Inline Form preview image](https://www.mathvids.com/rails/active_storage/representations/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaHBBa1FIIiwiZXhwIjpudWxsLCJwdXIiOiJibG9iX2lkIn19--4cd3fc1355b5b00a9f61c636716e25f5d36277c2/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaDdCam9VY21WemFYcGxYM1J2WDJ4cGJXbDBXd2RwQVpacGN3PT0iLCJleHAiOm51bGwsInB1ciI6InZhcmlhdGlvbiJ9fQ==--fd851aaa3027f3a83a588ba5d0f1fd585b3d8659/%5Bc.3%5D%20inline%20form.jpg)
![[C.4] Enter Function Expression into Y= preview image](https://www.mathvids.com/rails/active_storage/representations/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaHBBa1VIIiwiZXhwIjpudWxsLCJwdXIiOiJibG9iX2lkIn19--2fb61a0551e702d5389bb80ce3c6049261f90062/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaDdCam9VY21WemFYcGxYM1J2WDJ4cGJXbDBXd2RwQVpacGN3PT0iLCJleHAiOm51bGwsInB1ciI6InZhcmlhdGlvbiJ9fQ==--fd851aaa3027f3a83a588ba5d0f1fd585b3d8659/%5Bc.4%5D%20enter%20function%20expression%20into%20y=.jpg)
![[C.5] Making a Table of Ordered Pairs preview image](https://www.mathvids.com/rails/active_storage/representations/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaHBBa1lIIiwiZXhwIjpudWxsLCJwdXIiOiJibG9iX2lkIn19--a21f33d7be29a692959612c01a54737825afb8de/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaDdCam9VY21WemFYcGxYM1J2WDJ4cGJXbDBXd2RwQVpacGN3PT0iLCJleHAiOm51bGwsInB1ciI6InZhcmlhdGlvbiJ9fQ==--fd851aaa3027f3a83a588ba5d0f1fd585b3d8659/%5Bc.5%5D%20making%20a%20table%20of%20ordered%20pairs.jpg)
![[C.6] Useable Graph preview image](https://www.mathvids.com/rails/active_storage/representations/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaHBBa2NIIiwiZXhwIjpudWxsLCJwdXIiOiJibG9iX2lkIn19--227b7897e0ddf92b27c73f224c80500a89bbe11f/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaDdCam9VY21WemFYcGxYM1J2WDJ4cGJXbDBXd2RwQVpacGN3PT0iLCJleHAiOm51bGwsInB1ciI6InZhcmlhdGlvbiJ9fQ==--fd851aaa3027f3a83a588ba5d0f1fd585b3d8659/%5Bc.6%5D%20useable%20graph.jpg)
![[C.7] Evaluate a Function preview image](https://www.mathvids.com/rails/active_storage/representations/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaHBBa2dIIiwiZXhwIjpudWxsLCJwdXIiOiJibG9iX2lkIn19--26695fd40669c4e70ab377809ae71da146220b7f/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaDdCam9VY21WemFYcGxYM1J2WDJ4cGJXbDBXd2RwQVpacGN3PT0iLCJleHAiOm51bGwsInB1ciI6InZhcmlhdGlvbiJ9fQ==--fd851aaa3027f3a83a588ba5d0f1fd585b3d8659/%5Bc.7%5D%20evaluate%20a%20function.jpg)
![[C.8] Find Intersection of Two Functions preview image](https://www.mathvids.com/rails/active_storage/representations/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaHBBa2tIIiwiZXhwIjpudWxsLCJwdXIiOiJibG9iX2lkIn19--124e03f7df892044c1d810760b38a2cd810b49a0/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaDdCam9VY21WemFYcGxYM1J2WDJ4cGJXbDBXd2RwQVpacGN3PT0iLCJleHAiOm51bGwsInB1ciI6InZhcmlhdGlvbiJ9fQ==--fd851aaa3027f3a83a588ba5d0f1fd585b3d8659/%5Bc.8%5D%20find%20intersection%20of%20two%20functions.jpg)
![[C.9] Find Zero of a Function preview image](https://www.mathvids.com/rails/active_storage/representations/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaHBBZ0VEIiwiZXhwIjpudWxsLCJwdXIiOiJibG9iX2lkIn19--231a5327dd72fca6d50fa6cddd232f0dee6df803/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaDdCam9VY21WemFYcGxYM1J2WDJ4cGJXbDBXd2RwQVpacGN3PT0iLCJleHAiOm51bGwsInB1ciI6InZhcmlhdGlvbiJ9fQ==--fd851aaa3027f3a83a588ba5d0f1fd585b3d8659/%5Bc.9%5D%20find%20zero%20of%20a%20function.jpg)
![[C.10] Maximum or Minimum preview image](https://www.mathvids.com/rails/active_storage/representations/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaHBBa29IIiwiZXhwIjpudWxsLCJwdXIiOiJibG9iX2lkIn19--c97d50bb747011d342cff8c0fd94912bd7133348/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaDdCam9VY21WemFYcGxYM1J2WDJ4cGJXbDBXd2RwQVpacGN3PT0iLCJleHAiOm51bGwsInB1ciI6InZhcmlhdGlvbiJ9fQ==--fd851aaa3027f3a83a588ba5d0f1fd585b3d8659/%5Bc.10%5D%20maximum%20or%20minimum.jpg)
![[C.11] Find Linear Model with two point regression preview image](https://www.mathvids.com/rails/active_storage/representations/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaHBBZ0lEIiwiZXhwIjpudWxsLCJwdXIiOiJibG9iX2lkIn19--26e08b5d78006021683e0b18a50b70c9bbce2162/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaDdCam9VY21WemFYcGxYM1J2WDJ4cGJXbDBXd2RwQVpacGN3PT0iLCJleHAiOm51bGwsInB1ciI6InZhcmlhdGlvbiJ9fQ==--fd851aaa3027f3a83a588ba5d0f1fd585b3d8659/%5Bc.11%5D%20find%20linear%20model%20with%20two%20point%20regression.jpg)
![[C.12] Using Solver on a graphing calculator preview image](https://www.mathvids.com/rails/active_storage/representations/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaHBBa3NIIiwiZXhwIjpudWxsLCJwdXIiOiJibG9iX2lkIn19--070029247ece17636c59f2222cd0ad07e8a143eb/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaDdCam9VY21WemFYcGxYM1J2WDJ4cGJXbDBXd2RwQVpacGN3PT0iLCJleHAiOm51bGwsInB1ciI6InZhcmlhdGlvbiJ9fQ==--fd851aaa3027f3a83a588ba5d0f1fd585b3d8659/%5Bc.12%5D%20using%20solver%20on%20a%20graphing%20calculator.jpg)
![[C.13] Entering a Matrix on a graphing calculator preview image](https://www.mathvids.com/rails/active_storage/representations/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaHBBa3dIIiwiZXhwIjpudWxsLCJwdXIiOiJibG9iX2lkIn19--6f4f4623fc2f01346c177e4a8cf5b9533c5a6cb7/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaDdCam9VY21WemFYcGxYM1J2WDJ4cGJXbDBXd2RwQVpacGN3PT0iLCJleHAiOm51bGwsInB1ciI6InZhcmlhdGlvbiJ9fQ==--fd851aaa3027f3a83a588ba5d0f1fd585b3d8659/%5Bc.13%5D%20entering%20a%20matrix%20on%20a%20graphing%20calculator.jpg)
![[C.14] Matrix Addition and Multiplication preview image](https://www.mathvids.com/rails/active_storage/representations/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaHBBazBIIiwiZXhwIjpudWxsLCJwdXIiOiJibG9iX2lkIn19--d65f0027be6b0e7f7773888d395b3627777bcd86/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaDdCam9VY21WemFYcGxYM1J2WDJ4cGJXbDBXd2RwQVpacGN3PT0iLCJleHAiOm51bGwsInB1ciI6InZhcmlhdGlvbiJ9fQ==--fd851aaa3027f3a83a588ba5d0f1fd585b3d8659/%5Bc.14%5D%20matrix%20addition%20and%20multiplication.jpg)
![[C.15] Matrix Inverse on a graphing calculator preview image](https://www.mathvids.com/rails/active_storage/representations/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaHBBazhIIiwiZXhwIjpudWxsLCJwdXIiOiJibG9iX2lkIn19--ac26aeb8e066f229c14ffb2ed434bd5947edd5ba/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaDdCam9VY21WemFYcGxYM1J2WDJ4cGJXbDBXd2RwQVpacGN3PT0iLCJleHAiOm51bGwsInB1ciI6InZhcmlhdGlvbiJ9fQ==--fd851aaa3027f3a83a588ba5d0f1fd585b3d8659/%5Bc.15%5D%20matrix%20inverse%20on%20a%20graphing%20calculator.jpg)
![[C.16] Identity Matrix preview image](https://www.mathvids.com/rails/active_storage/representations/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaHBBbEFIIiwiZXhwIjpudWxsLCJwdXIiOiJibG9iX2lkIn19--84e90e230500ca5c6744776385d4baa4ca7d5768/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaDdCam9VY21WemFYcGxYM1J2WDJ4cGJXbDBXd2RwQVpacGN3PT0iLCJleHAiOm51bGwsInB1ciI6InZhcmlhdGlvbiJ9fQ==--fd851aaa3027f3a83a588ba5d0f1fd585b3d8659/%5Bc.16%5D%20identity%20matrix.jpg)
![[C.17] Solving the Matrix Equation preview image](https://www.mathvids.com/rails/active_storage/representations/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaHBBbEVIIiwiZXhwIjpudWxsLCJwdXIiOiJibG9iX2lkIn19--6c38284d4d3cb268ef506920917968d501175b2a/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaDdCam9VY21WemFYcGxYM1J2WDJ4cGJXbDBXd2RwQVpacGN3PT0iLCJleHAiOm51bGwsInB1ciI6InZhcmlhdGlvbiJ9fQ==--fd851aaa3027f3a83a588ba5d0f1fd585b3d8659/%5Bc.17%5D%20solving%20the%20matrix%20equation.jpg)
![[C.18] Using rref on a graphing calculator preview image](https://www.mathvids.com/rails/active_storage/representations/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaHBBbElIIiwiZXhwIjpudWxsLCJwdXIiOiJibG9iX2lkIn19--99293e6fa301601bab8563903ffea41f6c3b76ac/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaDdCam9VY21WemFYcGxYM1J2WDJ4cGJXbDBXd2RwQVpacGN3PT0iLCJleHAiOm51bGwsInB1ciI6InZhcmlhdGlvbiJ9fQ==--fd851aaa3027f3a83a588ba5d0f1fd585b3d8659/%5Bc.18%5D%20using%20rref%20on%20a%20graphing%20calculator.jpg)
![[C.19] Solver and Linear Growth of Money preview image](https://www.mathvids.com/rails/active_storage/representations/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaHBBbE1IIiwiZXhwIjpudWxsLCJwdXIiOiJibG9iX2lkIn19--c43280bf67c3c5bf90cea6c7fe2958ca76f187d4/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaDdCam9VY21WemFYcGxYM1J2WDJ4cGJXbDBXd2RwQVpacGN3PT0iLCJleHAiOm51bGwsInB1ciI6InZhcmlhdGlvbiJ9fQ==--fd851aaa3027f3a83a588ba5d0f1fd585b3d8659/%5Bc.19%5D%20solver%20and%20linear%20growth%20of%20money.jpg)
![[C.20] TVM-Solver on a graphing calculator preview image](https://www.mathvids.com/rails/active_storage/representations/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaHBBbFFIIiwiZXhwIjpudWxsLCJwdXIiOiJibG9iX2lkIn19--743d95364bbdca117375691ab9cd61883d35dcbe/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaDdCam9VY21WemFYcGxYM1J2WDJ4cGJXbDBXd2RwQVpacGN3PT0iLCJleHAiOm51bGwsInB1ciI6InZhcmlhdGlvbiJ9fQ==--fd851aaa3027f3a83a588ba5d0f1fd585b3d8659/%5Bc.20%5D%20tvm_solver%20on%20a%20graphing%20calculator.jpg)
