🤔

What happens when both w₁ and w₂ are linearly independent eigenvectors?

👆 Drag Me!

Move the vectors v, w₁ and w₂ to observe the effects of a linear map M and the change of basis C⁻¹MC.

Linear maps, Change of Basis & Diagonalisability

C ([w₁ w₂] Basis)
[
1.0 0.0 0.0 1.0
]
,
M (Standard Basis)
[
]
MBB(T) = C⁻¹MC
[
1.0 0.0 0.0 2.0
]

Domain ℝ² (Input)

v = 0.0 w₁ + 0.0 w₂
Drag vectors to adjust

Codomain ℝ² (Output)

Mv = 0.0 Mw₁ + 0.0 Mw₂