A-Level Further Maths: C3-04 Matrices: AQA ONLY Deriving the Reflection Matrix

[samuelhawksworth]

I genuinely haven't seen the gradient being equal to tan(x) before for whatever reason, that is fantastic!

[themindsvoice]

I love you sir very much, makes me feel so happy as a mathematician .

[thomaswinkworth]

Nice, wasn't expecting the line of reflection to be as simple as y=(tan0)x

[jamminermit]

Is there a way that you can use matrices to describe a reflection in any line. For example, how would you reflect a point in the line y=2x+3 for example using matrices?

[anaahathebwdh]

Thanks, I like this video. Can I find a reflection matrix in R^3 using the same technique?

[Wallenstein-je]

Thank you so much, this explanation is a treasure😃

[nosir]

So does the first column of the reflection matrix describe what happens to the reflection of your 'x' co-ordinate and the second column describe what happens to your 'y'?

[ELLIPTICALWR]

do we have to know how to derive this sir?

[subita]

would we need to know how to derive this for the exam? Same for the rotation matrix btw