What’s on the Determinant Properties poster
A 7-row table: Operation · Effect on det(A).
A is square. Every row here has a column twin.
- Swap two rows — The sign flips
- Scale a row by k — Multiplied by k
- Add a multiple of another row — Unchanged
- Transpose the matrix — Unchanged
- Product AB — det(A) · det(B)
- Inverse — 1 / det(A)
- Triangular matrix — Product of the diagonal
det(A) = 0 exactly when A is singular: the columns are dependent, the map collapses volume, and Ax = b has no unique solution.
Questions about the Determinant Properties poster
- What’s on the Determinant Properties poster?
- A 7-row table: Operation · Effect on det(A). A is square. Every row here has a column twin. Swap two rows — The sign flips; Scale a row by k — Multiplied by k; Add a multiple of another row — Unchanged; Transpose the matrix — Unchanged; Product AB — det(A) · det(B); Inverse — 1 / det(A); Triangular matrix — Product of the diagonal. det(A) = 0 exactly when A is singular: the columns are dependent, the map collapses volume, and Ax = b has no unique solution.
- Who is the Determinant Properties poster for?
- Determinant Properties belongs to the Mathematics section rather than to a school year, because math is not something one grade owns. Anyone learning linear algebra can pin it up — a beginner, a student mid-course, or someone revising years later.
- When should you use the Determinant Properties poster?
- Use these to reduce a determinant to a triangular one instead of expanding it. A wall chart earns its place by being glanceable from where the work is happening, so Determinant Properties belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
- What other posters go with Determinant Properties?
- Basis & Dimension, Diagonalisation and Dot & Cross Product sit alongside Determinant Properties in the Mathematics section. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.Basis & DimensionDiagonalisationDot & Cross Product
- Is the Determinant Properties poster free to download and print?
- Yes. Determinant Properties downloads as a free PDF with no account, no email and no watermark, like everything else in the Mathematics section. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.Read the licence
- What size does the Determinant Properties poster print at?
- Determinant Properties is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of Determinant Properties loses nothing.Printing guide
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