Name: Data Science & Statistics: Matrix arithmetic in R
Uploaded: 2020-03-09T16:24:04.000Z
Duration: 7 min 12 s
Description: Thousands of YouTube videos with English-Chinese subtitles! Now you can learn to understand native speakers, expand your vocabulary, and improve your pronunciation...

hi and welcome back to our for statistics and data science, right?

Last time we talked about's upsetting matrices, we used square bracket to extract elements by roll and column index blank spaces to call all elements in a dimension.

And we called elements by column or row name.

In this lesson, we will talk about matrix arithmetic, which I expect will remind you a lot of doing arithmetic with vectors.

Matrices are just Victor's older brothers.

Okay, this means that they share a lot of their properties.

Do you remember the mechanics of Victor Operations?

Well, they happen an element twice manner.

I will super quickly create a matrix with the box office data for a new movie franchise.

We're stepping away from Hardy part of her a little bit matrix with the matrices grosses in the U.

We have a simple three by two matrix telling us how the movies from The Matrix franchise fares on U.

We're all set to jump right into the calculations.

notice that the figures in her matrix are in millions in U.

Well, what if I wanted to convert the millions into billions, for example?

Because I have other data I want to compare this to, and that data is in billions.

Well, in this case, I can use the scaler Multiplication scaler operations comprise multiplying or dividing an entire stricture by a single number.

In this case, because I want the data in billions, I will divide my matrix by 1000 and get the desired result like this.

See, the operation happened element by element, just like it did with Victor's.

So what if I wanted to know how much each movie made after we subtract the money that went into producing the movie?

Of course, the movies had different budgets, but their average is $121 million to find out the margin for the matrix movies, we just need to subscript 121 from the Matrix.

And there you have it noticed that the command was again executed on element by element basis.

Okay, so this holds true for all arithmetic operations.

All right, but what about the more interesting stuff.

Well, those are also governed by the same rules.

Everything will happen element wise, for example, if we take the margin calculation with it before.

But this time I decided to use the real budgets for each movie instead of their average.

We can create another to buy treat matrix with the information and substructure did from matrix.

And as before, the operation is happening.

Okay, so did you notice how we made the budget matrix just now?

We passed three values one for each row and asked or to create two columns because the victor we passed was only of length three.

And we're asking our for a matrix that has six values, or is three by two, are recycled the vector and created it for us.

To be very honest, we didn't need to do that because our will recycle, even if we had simply subtracted a vector with the values 6350 and 100 and 50 from the matrix.

The result we get is identical with the one before because our recognizes the victor and the Matrix as being of different sizes and does whatever it can to rectify this for the operation at hand.

If you have been paying attention to everything we've said so far, it will be painfully obvious to you that when you multiply two matrices together, the operations who happen how element by element Good.

I will multiply the box office gross for the franchise by three by two matrix storing the numbers from 1 to 6.

If you are a linear algebra enthusiast, however, you may be hoping that matrix multiplication happens the way traditional matrix multiplication is supposed to happen.

If this is what you're after, you just have to ask nicely in Their multiplication happens when you use this operator and out there multiplication.

When you use this one, don't forget to transpose, though we did this with the T function, remember?

Of course, if you truly are a linear algebra enthusiast, that's probably the first thing that came to mind, didn't it?

Okay, I won't finish the lesson on this note.

 And next time we'll switch to focus a little bit too more mathematically inclined to matrix operations like finding column and row sums averaging and so on form or videos like this one, please subscribe. 

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Data Science & Statistics: Matrix arithmetic in R

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