Hey peeps! Totally made a new vijeo yo. Madd Skillz!

(English translation: Good evening Sir or Madam, We the people at Svrss have recently redone a whole new Multimedia event showcasing the wonders of Mathematics. We hope you enjoy the presentation.)

Matrices 4

Continuing the experiment, try to watch it sometime!

This video is about Network Matrices!

also the song was made on GarageBand!!!

Enjoy,

Nemo

Matrices 3

Little experiment, try to watch it sometime!

This video is about Transition Matrices!

also the song was made on GarageBand!!!

Enjoy,

Nemo

Matrices 2: Armageddon!!!! (multiplying)

Alright, I'm Nemo, Silvers partner in crime. We're are doing our blog project, for the SVRSS Gr. 12 Applied math program.


Okeey-Dokeey, Lets get started. Multiplying Matrices. This is different then Scalar Multiplying. Instead of multiplying each number inside the matrix by a set number, things are done a bit differently. Let me show you.
1.





2.

3.

4.

Alright, I'll be referring to the pictures in the next little bit, so I numbered them.

When you are first going to multiply a matrix, you must know whether the matrices can by multiplied together of not. Here is how you know,

"The Number of Rows in the second matrix must match the Number
of Columns in the first Matrix"

as told in image 1. Which means, If you have matrix [A](2x2) and matrix [B](4x2) you cannot multiply [A]x[B] Because the row in [B](4) doesn't match the column in [A](2). But you can multiply [B]x[A] Because the row in [A](2) matches the column in [B](2).

Now for the Second part of image 1.

"The dimensions of the Product matrix are : The # of Rows in the First
matrix X The # of Columns in the Second Matrix."

This means that when we multiply [B]x[A], the end product will equal 4x2.

All of what I just said is in a more visual form on image 2.

Now, the next little bit I'm going to tell you should be known, but you don't need it since your calculator does it for you. Mr. Maksymchuk recommends that you NEVER do it by hand, at least when you have a calculator to do it. But I will show how to do by hand anyways, just so you know how it works.

Referring to image 3, we are going to learn the Two finger rule. You multiply the first row of the first matrix, by the first column of the second matrix(a x e and b x g) You then add the products of those and add them together for the first number in our product matrix. For the second number move over to the second column in the second matrix. Then the second row in the first matrix and the first column in the second matrix, so on and so forth.

Image 4 is where all we have learned in image 3 comes into play, and is used. There is a screen shot as to prove that is done right.

Remember, we shouldn't have to use the two finger method if we have a calculator.

And that is how multiplying matrices by matrices work.

Thanks for your time

Nemo

Here's Matricies For Ya

Hi, I'm Silver, nice to meet you. I hope you are all well.

I am working with Nemo, to help teach you about matrices. As this is the first time this is being done (our schools doing this blog) I hope it works well, and does help our classes.

I am going to try to teach you how to ADD, SUBTRACT, and SCALAR MULTIPLY matrices, by telling you the rules and conditions that must be followed to either add, subtract or multiply the matrices. I will also give you examples that was given to my class to help explain what I am trying to tell you.

Now, I will start with ADDING the matrices.

To Add matrices they must have the same dimensions, meaning they must have the same amount of rows and columns.

This page that was given to my class by Mr.Maksymchuck just means what I said.... with a break-out of colors.

To simplify this color explosion, it tells us, if we look at matrix A and matrix B, that "0" can be added to "4", "1" can be added to "5", "2" can be added to"6", and "3" can be added to"7".

The result of which will be matrix C that would be:

[4 6]
[8 10]

As another example:

A [2x4] matrix can be added to another [2x4] matrix.

However, a [2x5] matrix cannot be added to a [3x6]matrix.

Now that I tried to explain ADDING matrices, I will now try to explain how to SUBTRACT them.

Subtracting matrices should be easily understood, so long as you know how to ADD matrices. I say it is easy because it follows the same rule, or the same condition as ADDING. "The dimensions must be the same."

For example:

A [5x5] matrix can be SUBTRACTED by another [5x5] matrix, exactly like matrices with these dimensions can be ADDED.

Next up is MULTIPLYING matrices. Now there are two kinds of multiplying, but I will teach you about one kind, SCALAR MULTIPLYING.

With SCALAR MULTIPLYING the whole matrix is multiplied by the SCALAR NUMBER.

This burst of color just explains that any matrix be it a [1x1], [2x10], or even bigger (any sized) matrix can be multiplied by any size of a scalar number.

The definition says that it is just a number, or just a value, that it doesn't give a direction.

today was a work period. See Edline for the solutions to the review given in class. Test is tomorrow. Matrices project due next Wednesday.