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This module explains using and solving matrices on a calculator.

Many modern graphing calculators have all the basic matrix operations built into them. The following is a brief overview of how to work with matrices on a TI-83, TI-83 Plus, TI-84, or TI-84 Plus.

The calculator has room to store up to ten matrices at once. It refers to these matrices as [A], [B], and so on, through [J]. Note that these are not the same as the 26 lettered memories used for numbers.

The following steps will walk you through the process of entering and manipulating matrices.

  • Hit the MATRX button. On a TI-83, this is a standalone button; on a TI-83 Plus, you first hit 2nd and then MATRIX (above the x –1 button). The resulting display is a list of all the available matrices. (You have to scroll down if you want to see the ones below [G] .)
  • Hit the right arrow key ► twice, to move the focus from NAMES to EDIT . This signals that you want to create, or change, a matrix.
  • Hit the number 1 to indicate that you want to edit the first matrix, [A] .
  • Hit 4 ENTER 3 ENTER to indicate that you want to create a 4x3 matrix. (4 rows, 3 columns.)
  • Hit 1 ENTER 2 ENTER 3 ENTER 4 ENTER 5 ENTER 6 ENTER7 ENTER 8 ENTER 9 ENTER 10 ENTER 11 ENTER 12 ENTER This fills in the matrix with those numbers (you can watch it fill as you go). If you make a mistake, you can use the arrow keys to move around in the matrix until the screen looks like the picture below.
  • Hit 2nd Quit to return to the main screen.
  • Return to the main matrix menu, as before. However, this time, do not hit the right arrow to go to the EDIT menu. Instead, from the NAMES menu, hit the number 1 . This puts [A] on the main screen. Then hit ENTER to display matrix [A] .
  • Go through the process (steps 1-7) again, with a few changes. This time, define matrix [B] instead of matrix [A] . (This will change step 3: once you are in the EDIT menu, you will hit a 2 instead of a 1.) Define [B] as a 3x2 matrix in step 4. Then, in step 5, enter the following numbers:
    10 40 20 50 30 60 size 12{ left [ matrix { "10" {} # "40" {} ##"20" {} # "50" {} ## "30" {} # "60"{}} right ]} {}
    When you are done, and have returned to the main screen and punched 2 in the NAMES menu (step 7), your main screen should look like this:
  • Now, type the following keys, watching the calculator as you do so. TI-83 Plus users should always remember to hit 2nd MATRIX instead of just MATRX. MATRX 1 + MATRX 2
    This instructs the computer to add the two matrices. Now hit ENTER
    Hey, what happened? You asked the computer to add two matrices. But these matrices have different dimensions . Remember that you can only add two matrices if they have the same dimensions—that is, the same number of rows as columns. So you got an “Error: Dimension Mismatch.” Hit ENTER to get out of this error and return to the main screen.
  • Now try the same sequence without the + key: MATRX 1 MATRX 2 ENTER
    This instructs the calculator to multiply the two matrices. This is a legal multiplication—in fact, you may recognize it as the multiplication that we did earlier. The calculator displays the result that we found by hand: 1 2 3 4 5 6 7 8 9 10 11 12 size 12{ left [ matrix { 1 {} # 2 {} # 3 {} ##4 {} # 5 {} # 6 {} ## 7 {} # 8 {} # 9 {} ##"10" {} # "11" {} # "12"{} } right ]} {} 10 40 20 50 30 60 size 12{ left [ matrix { "10" {} # "40" {} ##"20" {} # "50" {} ## "30" {} # "60"{}} right ]} {} = 140 320 320 770 500 1220 680 1670 size 12{ left [ matrix { "140" {} # "320" {} ##"320" {} # "770" {} ## "500" {} # "1220" {} ##"680" {} # "1670"{} } right ]} {}
  • Enter a third matrix, matrix [C]= 3 4 5 6 size 12{ left [ matrix { 3 {} # 4 {} ##5 {} # 6{} } right ]} {} . When you confirm that it is entered correctly, the screen should look like this:
    Now type MATRX 3 x-1 ENTER
    This takes the inverse of matrix [C]. Note that the answer matches the inverse matrix that we found before.
  • Type MATRX 3 x-1 MATRX 3 ENTER
    This instructs the calculator to multiply matrix [C]-1 times matrix [C]. The answer, of course, is the 2×2 identity matrix [I].

Questions & Answers

where we get a research paper on Nano chemistry....?
Maira Reply
what are the products of Nano chemistry?
Maira Reply
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Preparation and Applications of Nanomaterial for Drug Delivery
Hafiz Reply
Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
Jyoti Reply
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
yes that's correct
I think
Nasa has use it in the 60's, copper as water purification in the moon travel.
nanocopper obvius
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
How we are making nano material?
what is a peer
What is meant by 'nano scale'?
What is STMs full form?
scanning tunneling microscope
how nano science is used for hydrophobicity
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
what is differents between GO and RGO?
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
analytical skills graphene is prepared to kill any type viruses .
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
The nanotechnology is as new science, to scale nanometric
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
what school?
biomolecules are e building blocks of every organics and inorganic materials.
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Source:  OpenStax, Advanced algebra ii: conceptual explanations. OpenStax CNX. May 04, 2010 Download for free at http://cnx.org/content/col10624/1.15
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