Determinant with a Row Equal to a Sum

Rarely Tested

Determinant with a Row Equal to a Sum

## Formula

If:

$$R_i=R_j+R_k$$

then the determinant can be split as:

$$D=D_1+D_2$$

where the row $$R_i$$ is replaced separately by $$R_j$$ and $$R_k$$.

## Usage

- Used to simplify determinants containing sums of rows or columns.

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