Finite Math > System of Equations and Matrices > Matrices
Matrix Arithmetic | Matrix Algebra | Multiplication | Inverse
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.
Matrix Arithmetic
The Video shows us using built-in matrix M1 to perform matrix arithmetic. Add functions sumcol(m,c):=ΣLIST(col(m,c)) and sumrow(m,r):=ΣLIST(row(m,r)). We explore using the math features of the HP Prime Calculator.
Embedded YouTube video file or direct link
HP Prime Onenote Matrix Arithmetic or direct link
Enter matrices in textbook mode by pressing the bracket key twice and using comma to move to the next entry. Use the pad to move to the next row. Hit the right directional part of pad twice to exit the matrix. Press Sto-> and then M1.
Click link for instructions and video on how to use HP Connectivity Kit to load functions such as sumrow and sumcol into a physical calculator.
Matrix Algebra
The Video shows us using boolean logic to illustrate properties for matrix algebra by showing an example where they hold. We explore using the math features of the HP Prime Calculator.
Embedded YouTube video file or direct link
HP Prime Onenote Matrix Algebra or direct link
Enter matrices in textbook mode by pressing the bracket key twice and using comma to move to the next entry. Use the pad to move to the next row. Hit the right directional part of pad twice to exit the matrix. Press Sto-> and then M1.
Matrices properties are illustrated by the 1 holding as the result for the example of the property typed in the command line. The boolean result of 1 represent true. A result of 0 would represent a false statement. We looked at examples of the matrix properties for addition and scalar properties for multiplication, distributive operations with scalars, and associative multiplication property for scalar.
Multiplication
The Video shows us working a practical problem involving matrix multiplication. We explore using the math features of the HP Prime Calculator.
Embedded YouTube video file or direct link
HP Prime Onenote Matrix Multiplication or direct link
Enter matrices in textbook mode by pressing the bracket key twice and using comma to move to the next entry. Use the pad to move to the next row. Hit the right directional part of pad twice to exit the matrix. Press Sto-> and then M1.
Inverse
The Video shows us finding matrix inverse by various techniques. Go to 1:08 if you already have pivmat loaded. We explore using the math features of the HP Prime Calculator.
Embedded YouTube video file or direct link
HP Prime Onenote Matrix Multiplication or direct link
Enter matrices in textbook mode by pressing the bracket key twice and using comma to move to the next entry. Use the pad to move to the next row. Hit the right directional part of pad twice to exit the matrix. Press Sto-> and then a.
The last part of the video show us using the Matrix editor on our original matrix a. The first screen shot on the Not sufficient subpage has the last column already deleted. The second screen shot show us in the command line entering a 2 to replace the -3 in row 2, column 1. We have already edit the entries in row 1 to produce a new matix a with the result of new a shown below in screen shot 3. The values were chosen to demonstrate a square matrix without an inverse. It would have been simpler to use the textbook editor in the command line to redefine a.
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 inverse a column at a time. Pivmat is also 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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