7.2 Reflections and Rotations (CORE 1- Chapter 7: Linear transformations)

#hindsmaths
****AT 8:18 I SHOULD HAVE ALSO WRITTEN DOWN THE EQUATIONS OF TWO OTHER INVARIANT , LINES. THESE CAN BE *ANY TWO HORIZONTAL LINES*. FOR EXAMPLE, Y=7 AND Y=-2****
Using matrices to represent reflections and rotations
0:00 Intro
4:10 Example 4
9:36 Example 5
14:17 Example 6
18:56 Example 7
27:05 End/Recap

[HindsMaths]

***AT **8:18** I SHOULD HAVE ALSO WRITTEN DOWN THE EQUATIONS OF TWO OTHER INVARIANT LINES. THESE CAN BE *ANY TWO HORIZONTAL LINES*. FOR EXAMPLE, Y=7 AND Y=-2****

[aliahmad]

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Secondly in the book it says any perpendicular line to the mirror line is also invariant, even though the points are not so it still counts as an invariant line (Y=0). Also Y=1 is an invariant line as well.

[JO]

I'd like to just say that you should possibly make a video on just invariant line exam questions since you dont really touch on invariant lines in this series ( not that i saw ) yet they're probably the hardest matrix questions if you dont know what to do. So exam questions like finding all the possible invariant lines under a transformation M are what i mean. Would be useful for other viewers.

[petrusbeatrice]

In the actual textbook it says that the line x=0, y=0 and y=1 are invariant

[River_or_something_idfk]

For example 4 then y=a where a is real, gives you a inveriant line. Theres infinite solutions