Don't worry, linear algebra can seem daunting at first, but it's not as complicated as it may seem

Don't worry, linear algebra can seem daunting at first, but it's not as complicated as it may seem

"Don't worry, linear algebra can seem daunting at first, but it's not as complicated as it may seem". Thanks for that one CHAT GPT


"Vectors of the same dimension (having the same number of components) can be added or subtracted"

BUT WHYYY

Chat GPT has been explaining to me how to multiply and double vectors ARRRRRGH

How to double them and add them I mean ARRRRRGH

I got this one right though, thanks

So that's awesome

Save for a tiny bit of arithmetic...

What's this? What's next please? What's next? Oh no... Oh no... Oh no 
No please
ARRRRRGH

"Vector Dot Products"

AN IMPORTANT VECTOR OPERATION IN LINEAR ALGEBRA IS THE "DOT PRODUCT"

A DOT PRODUCT TAKES TWO EQUAL DIMENSION VECTORS 

AND RETURNS A SINGLE SCALAR VALUE

BY SUMMING THE PRODUCTS OF THE VECTORS' CORRESPONDING COMPONENTS

THIS CAN BE WRITTEN OUT FORMULAICALLY AS


ARRRRRRRRRRRRRRRRRRRRRRRRGH

WHAT 

IS THIS COURSE I DON'T LIKE IT IT'S TOO DIFFICULT FOR ME PLEASE ARRRRGH

BUT I FIND IT SO AWESOME THOUGH...

Chat GPT please please HALP me

LORD GPT Says that - if the dot product is positive the arrows are pointing in the same direction

If the dot product is negative the arrows are pointing in OPPOSITE DIRECTIONS

IF THE DOT PRODUCT IS ZERO THEN THE LINES ARE PERPENDICULAR AND INTERSECT - LIKE THE LINES OF A NOUGHTS AND CROSSES GAME

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