Matrix Transformations : reflections and rotations

This video looks at how we can work out a given transformation from the 2x2 matrix. It considers a reflection, a rotation and a composite transformation. MEI, FP1 exam solution, June 2012. View my channel: / jayates79

[@KJKP]

Absolutely the best explanation I've seen. I've been studying matrices for 6 months. Authors and profs and tutors are so focused on solutions and processes, they forget to explain what is actually happening; they forget what the math represents- the thing we really ought to know. Thanks!

[@lukematthews6816]

I learnt more in this 3 minute video than an hour of further maths A level class. Thank you!

[@akeibazli8942]

A level???!?! Seriously??? We learn this during 10 grade

[@andydeckard]

@@akeibazli8942 ok 😐

[@egggames8059]

@@akeibazli8942 no one cares

[@studilicious8844]

literally watching this right before my igcse exam! you saved my life!

[@abdulraheemmalik9873]

Same wish me luck

[@kimi373]

Dull I know its late, but how’d it go buddy?

[@adibchelly1478]

me tooo LMFAO

[@Glory-Compass]

@@adibchelly1478 I have my IGCSE tomm

[@beshriadurdana7499]

Omg same here 🤣

[@connorgoldson9506]

This has totally blown my mind! Months of trying to figure out how matrices work, and it's all come together in this short video! So brilliantly explained and shown. Thank you so much!

[@rijanrai3375]

Thanks Dude, I have an exam tomorrow & hope this will help me!

[@iman7961]

RIJAN RAI me too , wow 😲

[@bumxrr]

@@iman7961 wow 😮

[@katiex3715]

i missed this lesson, so hopefully this’ll help me to understand

[@ILCA_Xtreme]

why didnt I find this earlier.. this was so helpful, thanks!

[@radwanahmed8981]

You deserve a nice blowie for that awesome explanation. thanks

[@rishmiyeah]

I’ve got a further maths exam tomorrow, my friend sent me this and I feel more confident with matrices

[@nickthegreek4223]

me too this video is a lifesaver

[@SHADOWLEGENDDRAWS]

thx for the explaination, it helped me a lot

[@anisaahmad7586]

This helps a lot thanks!!

[@badboarder4]

Thanks, it cleared up how to solve my homework.

[@inaarakheraj5153]

great video! thanks! :D

[@moristaban1415]

Thanks and I needed your help more.

[@faizanmuhammad8478]

thank you so much lovely human being!

[@MadameCorgi]

Have you done any videos about transforming unit squares using a matrix?

[@jakeminshall4969]

Great video! I’m just very confused because I thought matrices were displayed as (x,y) but in the matrices here it’s represented vertically. Why is this?

[@kevinXD71]

For the people equally confused as me when seeing the last matrix problem for the FIRST time: (BxA)=(a,b,c,d).(a2,b2,c2,d2) = (a.a2+b.c2)= 0 ; a.b2+b.d2= 1 ; c.a2+d.c2= 1 ; c.b2+d.d2=0 => BxA = ( 0, 1, 1, 0)

[@dragonstone1918]

About tl write one of mg biggest maths exams rn.... this.. saves me... so much

[@hmz990]

you are a godsend

[@thegamingtaco6283]

I have a question, is there a particular matrix that will allow you to reflect a vector across this plane (x+y+z=1)

[@jordanli5434]

explained way better than 90% of the profs

[@Hotshotowen]

Very helpful, thank you!

[@ronitpatel181]

this saved me thanks!

[@tielebodyn7323]

thanks for this video!

[@Gunstar9696]

Love you, thanks!

[@hassansarjoon6743]

thank you

[@dhruvpurohit6218]

Thanks !!

[@omar._]

What if we had a 3 point shape and a 2×2 matrix

[@RetroRuin]

thanks a bunch!

[@mehvishdurrani6108]

From where did he get those matrices???

[@asparagus6095]

I've got my A level tomorrow will update u if this helped me pass

[@dantowik808]

cheers mate i swear to god why dont my study books explain stuff like this

[@sullyh1034]

At the origin this makes sense, but what about when you have objects deeper in one of the quadrants? How do you tell the difference between reflection in the y-axis and rotation 180 degrees? Because with that one square in that one location, the two are indistinguishable.

[@SylvEdu]

WTF is even happening at 2:36. Can someone please explain his order of multiplying and why?

[@tristanmungal1979]

for A, can it also be a rotation about the (0,0) mark in a clockwise direction of 270 degrees

[@dantowik808]

ye i had thought of that too

[@tristanmungal1979]

@@dantowik808 damn i dont even remember watching this video lmao, glad my comment helped.

[@notatwitteruser417]

​@@tristanmungal1979you still have this account 2 years later?

[@annesneha8583]

to the point 👍👍

[@Shayvideo]

Watching this video when it’s 10:10

[@CAT-hm6jt]

good thanks

[@cyklop1977]

Thx

[@hasnanafsar30]

Legitimate

[@lacerav5818]

If it is A followed by B why did you do B times A?

[@himanidewitt]

Lace Rav A followed by B means b is first ands follows behind it, meaning BxA

[@shabanaasad9754]

Name: jayates Job: unemploy maths school and tuition teachers❤😘

[@sunnysideup9279]

2:52 is he taking the det??? smh

[@zryan2588]

camplicat example 😱😱😱

[@mistermoe143]

you made a mistake. the coordinates are not plotted according to the vectors.

[@sullyh1034]

please elaborate?