Matrix Operations

Your one video for all things matrix operations.

Algebra IIMatrices
LanguageEnglish Language

Transcript

00:31

that in March customers will probably buy half the amount of things they bought in January

00:36

but they will will buy the same amount in April as they did in February here's out data

00:41

for how many full price and discounted handbags watches and shoes he sold in January and February

00:47

in matrix format why aren't we using tables? [matrices]

00:50

well actually matrices are a good way to organize our data when we want to perform operations

00:56

with them such as adding them or multiplying numbers to the data first lets figure out

01:01

what the March and April data look like in March Gilligan estimates that customers will

01:07

probably buy half the amount of things they bought in January so we can just take January's

01:12

data and multiply the matrix by one half this is called multiplying by a scalar where scalar

01:18

is just another name for a number in essence we will just multiply each number in the matrix

01:24

by one half to get nine six five seven two and three those numbers are for Gilligan's

01:30

purposes millions in April Gilligan estimates that the customers will buy the same amount

01:36

in April as they did in February so we can just keep February's data the same Gilligan

01:42

wants to find the total of March and April's data so we'll have to add the two matrices

01:48

not that because the dimensions of both of these matrices are the same we can add them [teacher at white board in front of students]

01:54

if they weren't we wouldn't be able to to add two matrices we can just add each corresponding

01:59

pair of numbers we get nine plus eight equals seventeen six plus seven is thirteen five

02:06

plus six is eleven seven plus two is nine two plus nine is eleven and three plus four

02:12

is seven out final answer seventeen thirteen eleven nine eleven and seven looks like Gilligan's

02:19

gonna have another great two months [money showering over man]