# Category:Elementary Matrices

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This category contains results about **Elementary Matrices**.

Definitions specific to this category can be found in Definitions/Elementary Matrices.

### Elementary Row Matrix

Let $\mathbf E$ be a unit matrix on which exactly one elementary row operation $e$ has been performed.

Then $\mathbf E$ is called the **elementary row matrix** for the elementary row operation $e$.

### Elementary Column Matrix

Let $\mathbf E$ be a unit matrix on which exactly one elementary column operation $e$ has been performed.

Then $\mathbf E$ is called the **elementary column matrix** for the elementary column operation $e$.

## Subcategories

This category has the following 4 subcategories, out of 4 total.

## Pages in category "Elementary Matrices"

The following 11 pages are in this category, out of 11 total.

### E

- Elementary Column Matrix for Inverse of Elementary Column Operation is Inverse
- Elementary Column Matrix is Invertible
- Elementary Column Operations as Matrix Multiplications
- Elementary Matrix corresponding to Elementary Column Operation
- Elementary Matrix corresponding to Elementary Row Operation
- Elementary Matrix is Invertible
- Elementary Row Matrix for Inverse of Elementary Row Operation is Inverse
- Elementary Row Matrix is Invertible
- Elementary Row Operations as Matrix Multiplications