Eigenvalues and a Long Run

🔥 determined
mathfitness
Textbook page showing eigenvalue decompositionTextbook page showing eigenvalue decomposition
Tree-lined running trail in morning lightTree-lined running trail in morning light

Morning

Started on eigenvalues today. The concept makes sense intuitively (stretching vectors), but the actual computation with complex numbers is tricky. Watched a 3Blue1Brown video that helped a lot.

Afternoon

Needed a break from math so went for a run. Did 5K in 24:30 — not a PB but felt good. The trail by the river is beautiful this time of year.

Evening

Came back to eigenvalues with fresh eyes. Made more progress on the complex eigenvalue cases.

Reflections

Physical exercise really does help with mental blocks. Keep alternating between study and movement.