MHB How can rotation matrices be used to motivate students?

matqkks · Oct 17, 2012

I am trying to find a real life inverse linear transform which can be used to motivate students. Does anyone have an example or two? I am looking for an example which will have a real impact. Thanks in advance.

Ackbach · Oct 17, 2012

Rotation matrices are used all over the place. They are quite straight-forward to invert, given that they are unitary transformations. In physics, rotation matrices, in effect, are used to transform from one coordinate system to another (among other transformations!).

MHB How can rotation matrices be used to motivate students?

Thread 'How to define a vector field?'

Similar threads

I About the existence of Hamel basis for vector spaces

I How do we distinguish two different notations for cokernel and coimage?

I Localising a non integral domain at a prime

I ##(A/\mathfrak{a})_{\mathfrak{p}/\mathfrak{a}}## and its isomorphism?

I Can one find a matrix that's 'unique' to a collection of eigenvectors?

Insights Thinking Outside The Box Versus Knowing What’s In The Box

Insights Why Entangled Photon-Polarization Qubits Violate Bell’s Inequality

Insights Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect

Insights What Exactly is Dirac’s Delta Function? - Insight

Insights Relativator (Circular Slide-Rule): Simulated with Desmos - Insight

Insights Fixing Things Which Can Go Wrong With Complex Numbers