Can I draw links between branches?

A mind map is a tree, so branches cannot be connected. Say it in the text instead, such as "Rank, decides whether a system is solvable", or draw the relationships as a flowchart.

How do I show a matrix in a node?

You cannot. Nodes hold text only, so write a name like "3 by 3 inverse example" and keep the worked matrix in your notes.

Does this fit a proof-based course?

The structure does. Add a level for the main theorems under each topic and note which proofs you are expected to reproduce.

Diagramate

Start drawing

Mind map

Linear algebra concepts mind map template

A linear algebra mind map with six branches: systems of equations, matrices, determinants, vector spaces, eigenvalues and eigenvectors, and orthogonality. Adapt it to your course for exam review, then export PNG, SVG, Word or PowerPoint free.

Previewed in the “Ink Teal” theme; you can switch themes in the editor

When to use it

Linear algebra chapters build on each other, so seeing all six topics on one page helps. Use it for midterm and final review, for a study group, or as a teaching assistant's outline for a recap session.

Make it yours

Add a level under Rank to note where it appears again: solution sets, independence, invertibility.
Courses that skip least squares can delete that node.
Click a node in the preview to change its color and mark the topics your exam stresses.

Mermaid code

linear-algebra-mindmap.mmd

mindmap
  root((Linear algebra))
    Systems of equations
      Gaussian elimination
      Row echelon form
      Solution sets
    Matrices
      Operations and inverses
      Elementary matrices
      Rank
    Determinants
      Properties
      Cofactor expansion
      Cramer's rule
    Vector spaces
      Linear independence
      Basis and dimension
      Null space and column space
    Eigenvalues and eigenvectors
      Characteristic polynomial
      Diagonalization
      Symmetric matrices
    Orthogonality
      Dot product and projections
      Gram-Schmidt process
      Least squares

Ask an AI for one with this structure

Send the prompt below to ChatGPT or Claude, then paste the whole reply into the editor; the code inside is detected automatically.

prompt.txt

Draw a linear algebra mind map with Mermaid mindmap syntax. The root is Linear algebra, and the main branches are Systems of equations, Matrices, Determinants, Vector spaces, Eigenvalues and eigenvectors, and Orthogonality, each with two or three key concepts. Put every node on its own line, show levels with space indentation, and do not use list markers or arrows. Output only the mermaid code block.

FAQ

Can I draw links between branches?: A mind map is a tree, so branches cannot be connected. Say it in the text instead, such as "Rank, decides whether a system is solvable", or draw the relationships as a flowchart.
How do I show a matrix in a node?: You cannot. Nodes hold text only, so write a name like "3 by 3 inverse example" and keep the worked matrix in your notes.
Does this fit a proof-based course?: The structure does. Add a level for the main theorems under each topic and note which proofs you are expected to reproduce.

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Updated 2026-11-11