Finite Math > System of Equations and Matrices > Matrix Approach

One Point | One Point - First Element is a Zero | Infinitely Many Solutions | No Solution

Instructions

Shown on this page are youtube videos using a digital pen on virtual paper assisted by a HP Prime calculator emulator. The content found here extends the content found in our eBook or print copy of HP Prime Guide Algebra Fundamentals.

Click on play and the full screen option in the Embedded youtube video or click on the direct link to go directly to the youtube site to play the video.

Embedded youtube video displays a dialog window when we hit pause. Do not hit the “X’ to close the dialog window, just press the play icon or space bar to resume play as it closes the dialog window and resumes play.

Remark: Onenote Ink math assistant requires a 365 subscription. There is the personal 365 subscription,  academic 365 subscription with Class Notebooks for administrators, teachers, and students plus organizational versions of 365 subscriptions that include Onenote Ink math assistant. The videos were made using the academic 365 subscription. You will need a 365 subscription to duplicate the Onenote Ink math assistant parts, however there are free versions of Onenote for all platforms that include Ink but not the Ink math assistant. There is an Online Onenote broswer version available with the Onenote Ink math assistant for some subscription packages.


One Point

The video solve a 2 equation, 2 unknown system of linear equations with a single one point solution.  Go to 1:08 if you have pivmat loaded. We explore using the Math features of the HP Prime Calculator.

Embedded YouTube video file or direct link


HP Prime Onenote Linear System Augmented Matrix One Point or direct link

The HP calculator's row functions can be found in the catalog.

Click link for instructions and video on how to use HP Connectivity Kit to load functions such as pivmat into a physical calculator. Pivmat allows us to verify manual row solutions of a matrix a column at a time. Pivmat is used to move from nonfeasible Linear Programing solutions to feasible solutions where built-in simplex_reduce function can be used to produce the optimal solution.


One Point - First Element is a Zero

The video solve a 2 equation, 2 unknown system of linear equations with a single one point solution. It has a zero as the first element.  Go to 1:08 if you have pivmat loaded. We explore using the Math features of the HP Prime Calculator.

Embedded YouTube video file or direct link


HP Prime Onenote Linear System Zero in First Element of Augmented Matrix or direct link

The row function mRow can be found in the catalog. The last command should be SCALEADD(M7,-1,3,2).

Click link for instructions and video on how to use HP Connectivity Kit to load functions such as pivmat into a physical calculator. Pivmat allows us to verify manual row solutions of a matrix a column at a time. Pivmat is used to move from nonfeasible Linear Programing solutions to feasible solutions where built-in simplex_reduce function can be used to produce the optimal solution.


Infinitely Many Solutions

The video solve a 2 equation, 2 unknown system of linear equations with infinitely many point solutions.  Go to 1:08 if you have pivmat loaded. We explore using the Math features of the HP Prime Calculator.

Embedded YouTube video file or direct link


HP Prime Onenote Linear System Augmented Matrix Infinite Solutions or direct link

We said variable M, we meant M1. We said coefficient when we meant reciprocal. Microsoft is in the process of adding equation editor to 365 subscription of Onenote for Windows 10. They recommend you use equation editor in Word and copy and paste into Onenote for Windows 10. That is what we did to get the math expressions.

Click link for instructions and video on how to use HP Connectivity Kit to load functions such as pivmat into a physical calculator. Pivmat allows us to verify manual row solutions of a matrix a column at a time. Pivmat is used to move from nonfeasible Linear Programing solutions to feasible solutions where built-in simplex_reduce function can be used to produce the optimal solution.


No Solution

The video solve a 2 equation, 2 unknown system of linear equations with no solution.  Go to 1:08 if you have pivmat loaded. We explore using the Math features of the HP Prime Calculator.

Embedded YouTube video file or direct link


HP Prime Onenote Linear System Augmented Matrix No Solution or direct link

Microsoft is in the process of adding equation editor to 365 subscription of Onenote for Windows 10. They recommend you use equation editor in Word and copy and paste into Onenote for Windows 10. That is what we did to get the math expressions.

Click link for instructions and video on how to use HP Connectivity Kit to load functions such as pivmat into a physical calculator. Pivmat allows us to verify manual row solutions of a matrix a column at a time. Pivmat is used to move from nonfeasible Linear Programing solutions to feasible solutions where built-in simplex_reduce function can be used to produce the optimal solution.


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