seegongsik
engineering math Β· the shared toolkit
Every engineer's toolkit
Before your major: see the formulas, then use them fast.
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02A Vector Is a Movement
A vector is a movement and a list of numbers, built from basic directions
04Linearity Is Permission to Break Things Apart
Split it, solve the parts, add them back β same answer; the basis of everything
05Matrices Are Transformations
A matrix isn't a table; it moves all of space at once
06The Determinant Is Area Scaling
The determinant is how much a transformation scales area
07A System Is a Transformation Run Backwards
Solving a system is rewinding the transformation to find the input
08Eigenvectors Are the Directions That Don't Turn
The directions a transformation only stretches, never turns (Ξ» = the stretch)