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# Theorem describing the determinants of elementary matrices.

Put content here**Theorem:** The determinants of elementary matrices are:
- Row swap: $\det(E) = -1$
- Row scaling by $c$: $\det(E) = c$
- Row replacement: $\det(E) = 1$
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These follow from how each operation affects the determinant of the identity matrix.

# Parents

* Particular types of matrices