Summer Li

Honors mathematics, made precise.

A compact studio for proof strategy, multivariable analysis, spectral thinking, and vector geometry at the level of a strong U.S. honors undergraduate course.

Study streak: 5 days
Current score: 0 / 0
Best record: 0

Problem Set

Which condition guarantees that a linear operator on a finite-dimensional complex vector space is diagonalizable?

Problem 1 / 4 Streak 0

Identify the theorem Check the field Compare hypotheses

Awaiting a choice.

Local Linearization

L(x) = 2x + 1

(0, 1)

Derivative m 2 Value b 1

Mastery Map

Current capability profile

Spectral structure Strong 88%

Limit arguments Developing 62%

Proof construction Next focus 44%

Vector Geometry

Determinant area model

Base vector length 10 Orthogonal component 6

Reference Shelf

Tools in play

Linearization L(x) = f(a) + f'(a)(x-a)

Determinant area A = 1/2 |det(u,v)|

Spectral theorem T self-adjoint => orthonormal eigenbasis