Introduction here
Overview table here
| A | System with singular coefficient matrix |
| B | System with nonsingular coefficient matrix |
| C | Consistent system with $3\times 4$, rank 3, coefficient matrix |
| D | Consistent system with $3\times 4$, rank 2, coefficient matrix |
| E | Inconsistent system with $3\times 4$, rank 2, coefficient matrix |
| F | System with nonsingular $4\times 4$ coefficient matrix |
| G | Consistent system with $5\times 2$ coefficient matrix |
| H | Inconsistent system with $5\times 2$ coefficient matrix |
| I | Consistent system with $4\times 7$ full rank coefficient matrix |
| J | Consistent system with $6\times 9$, rank 4, coefficient matrix |
| K | $5\times 5$ nonsingular, diagonalizable, matrix |
| L | $5\times 5$ singular, rank 3, diagonalizable matrix |
| M | Linear transformation, larger domain |
| N | Surjective linear transformation, larger domain |
| O | Linear transformation, larger codomain |
| P | Injective linear transformation, larger codomain |
| Q | Linear transformation, equal domain and codomain |
| R | Invertible linear transformation, equal domain and codomain |
| S | Linear transformation, abstract vector spaces |
| T | Injective linear transformation, abstract vector spaces, larger codomain |
| U | Surjective linear transformation, abstract vector spaces, larger domain |
| V | Invertible linear transformation, abstract vector spaces, equal dimension domain and codomain |
| W | Invertible linear transformation, abstract vector spaces, diagonalizable |
| X | Linear transformation, abstract vector spaces, diagonalizable |