Karlea's Korner

Hello! Karlea here. (if you dare mispronounce my name, I will.... hug you until you can't breathe and you will therefore suffocate within my arms and.. teehee. NVM) You guys can call me Ea (eh-yah).
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...prepare yourselves for utter RANDOMNESS!! haha.
Subscribe everyday to our blog for exciting posts about Linear Algebra and everything and anything there is to find.. for I will blur out your stress from numbers and variables by shooting them with rainbow, butterflies and pure RANDOMNESSS!!!! 
*insert rain of confetti and gunshots here* 


For now, I will leave you guys with a short story of what the everyday lives of your beloved LAMEFHM staff goes like.

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*click*

"FAILURE"
*the LAMEFHM people are all frustrated about a test or something*


Karlea: My lungs are failing..
Marquee: ....?
Karlea: My kidney's failing..
Ktine: Whaaat?!
Karlea: MY WHOLE LIFE'S A FAILURE!
Marquee: (LOL-ing)
Ktine: (LOL-ing, too)
Karlea: I'M A FAILURE! :(( *BOOKHOO*
(Everyone laughs)
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Wooops, that's all for now. If you didn't laugh, well.. BLAAAAAAAM! Hahaha.
I'll get you guys the next time. Until then :p
Once again, Karlea/Ea here, signing off.
*wave* 
TEEHEE OuO

Quote of the Week

Hi! Ktine here. We are so sorry for not updating LAMEFHM that much this week. School has been very mean to us.

The Equation of earnings

Engineers and scientists will never make as much money as business executives. Now a rigorous mathematical proof has been developed that explains why this is true:

Postulate 1: Knowledge is Power.

Postulate 2: Time is Money.

As every engineer knows,

Work = Power * Time

Since Knowledge = Power, and Time = Money, we have:

Work = Knowledge * Money

Solving for Money, we get:

Money = Work / Knowledge

Thus, as Knowledge decreases, Money increases, regardless of how much Work is done.

Conclusion: The Less you Know, the More you Make.

Note: It has been speculated that the reason why Bill Gates dropped out of Harvard’s math program was because he stumbled upon this proof as an undergraduate, and dedicated the rest of his career to the pursuit of ignorance.

PAM: Linear Equations with n Variables

Linear Equations With n Variables

An Introduction On Matrices

Hey guys. Since we are talking about Linear Algebra here, let's go with what we call a "matrix".

First of all, what is this Matrix?

 Secondly, NO.

It is not the movie with Keanu Reeves. I'm not going to give you a dictionary definition of matrix, but I'll instead give you a picture.

Tadah. That's a matrix. Looks pretty simple, right? There's a general formula for the matrix, but then you'd just scratch your head and go "WHAT?!", so I'm just gonna give you the intro.

A matrix, like any other thing in the world, has parts. There're the

• ROWS
• COLUMNS
• MAIN DIAGONAL
• ELEMENTS OF A MATRIX
• UPPER TRIANGULAR OF A MATRIX
• LOWER TRIANGULAR OF A MATRIX

These parts are pretty easy to define. Elements are just the numbers/things inside the matrix. If you cut a matrix in half, the elements run over is the main diagonal. Then, like a sandwich, there's the upper part and lower part cut off. Those are the upper and lower triangular of a matrix. Nothing much, really.

Now, why would we need to learn these matrices, anyway? We've already got this:

And that's just one of the formulas to remember. It's pretty simple really, with the matrix, you can:

• Solve as many linear equations as you want!
• Find the correct quadratic equation for those pesky graphs!
• Balance a chemistry equation with an actual formula!
• Always know where you are, thanks to your GPS (global positioning system)!
• Watch all those 3D movies, thanks to the matrix!

So you see, the matrix has many, many uses in everyday life. Well, now that you've gotten oriented to the matrix, let me teach you how to name a matrix.

It's pretty simple really, the number of rows X number of columns. For example:

This matrix's name is 4X6. There are four rows and six columns. See? It isn't that hard.

However, the next step to learning the matrix is quite tricky. Do we use operations on matrices as a whole?

The answer is YES. We do.

However, that topic will be tackled on another day. For now, just enjoy transposing from Keanu Reeves to looking at bunch of rows and columns on a board.

Thanks for reading! I hope you learned a whole lot from this segment!

Derpina's adventures w/ Linear Algebra 1

Quote of the Week

An engineer, a physicist, and a mathematician are shown a pasture with a herd of sheep, and told to put them inside the smallest possible amount of fence. The engineer is first. He herds the sheep into a circle and then puts the fence around them, declaring "a circle will use the least fence for a given area, so this is the best solution." The physicist is next. She creates a circular fence of infinite radius around the sheep, and then draws the fence tight around the herd, declaring, "This will give the smallest circular fence around the herd." The mathematician is last. After giving the problem a little thought, he puts a small fence around himself and then declares,"I define myself to be on the outside."