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Linear Mathematics.

Explore 8 formal proofs and analytical renders within the discipline of Linear Mathematics.

Intermediate

Rank-Nullity Theorem

Conservation of dimensions.
Study Proof →
Foundational

Orthogonal Projections

Shadow geometry.
Study Proof →
Foundational

Determinants as Volume

Scaling factor of space.
Study Proof →
Intermediate

Eigenvalues & Eigenvectors

Axes of fixed direction.
Study Proof →
Intermediate

Matrix Diagonalization

Simplification of perspective.
Study Proof →
Advanced

Cayley-Hamilton Theorem

Matrix satisfies its poly.
Study Proof →
Advanced

Jordan Normal Form

Ultimate matrix taxonomy.
Study Proof →
Intermediate

The Gram-Schmidt Process

Witness the alchemical transformation of any arbitrary basis into an impeccably orthogonal (or orthonormal) foundation, unveiling the hidden geometric purity within vector spaces.
Study Proof →
eiπ+1=0e^{i\pi} + 1 = 0eiπ+1=0
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Institutional visual proofs for the modern age. Bridging the gap between abstract theory and analytical intuition.

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