Linear Algebra Toolkit

Determinant • inverse • solve • RREF • rank • LU/QR • eigenvalues • least squares — with stable pivoting and notebook export.

OUTPUT

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Ready.

Tip: Send results to Notebook, then open Data Explorer on the JSON cells to slice/plot matrices and vectors.

Presets

Saved locally

Save input sets per lab. Shortcut: Ctrl+Enter (or ⌘+Enter).

Preset

Name

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Workspace

Draft + share

Auto-saves a draft locally. Use share/export to move inputs between devices.

Checkpoints

Checkpoints are quick snapshots you can restore later.

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Projects

Multi-lab

Collect this lab state into a named Project. Open /projects to manage and share.

Active project

Open

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Data

CSV / TSV

Paste or upload a small table, then insert a vector/matrix into an input or send to Notebook.

Upload…

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Shape

Column

Insert into

Run log

Lightweight provenance: input snapshot + output preview + inspector trace (if available).

Results inspector

Run a method to plot traces here.

x-axis

y-axis

Tip: still exportable — send results to Notebook for full Data Explorer (filters, multi-plots).

Quick examples

Notes

Uses partial pivoting to reduce numerical blow‑ups, but floating‑point is still floating‑point.
Eigenvalues use a QR iteration (best for symmetric matrices; non‑symmetric matrices may converge slowly or yield complex pairs).
Least squares uses normal equations (AᵀA)x=Aᵀb — great for many cases, but can amplify conditioning.
For ill‑conditioned problems, validate with multiple methods.