Differences

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--- scratch [2015/03/23 13:48] – created rupert
+++ scratch [2015/03/23 13:49] (current) – rupert
@@ Line 6: / Line 6: @@
   - If $A'$ is the same as $A$, except with two rows swapped, then $\det(A')=-\det(A)$.
   - If $c$ is a scalar and $A'$ is the same as $A$ except with one row multiplied by $c$, then $\det(A')=c\det(A)$.
-  - If $A'$ and $A''$ are the same as $A$ except in row $i$, and $row_i(A'')=row_i(A)+row_i(A')$, the $\det(A'')=\det(A)+\det(A')$.
+  - If $A'$ and $A''$ are the same as $A$ except in row $i$, and $row_i(A'')=row_i(A)+row_i(A')$, then $\det(A'')=\det(A)+\det(A')$.
   - $\det(A^T)=\det(A)$. So we can swap "row" with "column" in these properties.
   - If $B$ is another $n\times n$ matrix, then $\det(AB)=\det(A)\det(B)$.