Determinants axiomatically
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Now you are in the subtree of Container for Linear Algebra project.
- Definition of multilinear function
- The determinant function exists.
- The determinant function is unique.
- A determinant is a multilinear function
- Adding a multiple of one row to another row does not change the determinant.
- Switching two rows multiplies the determinant by -1.
- Multiplying a row by a scalar multiplies the determinant by that scalar.
- A matrix with two equal rows/columns has determinant 0
- A matrix with a 0 row/column has determinant 0
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