Elementary Matrix is Invertible
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Theorem
Elementary Row Matrix is Invertible
Let $\mathbf E$ be an elementary row matrix.
Then $\mathbf E$ is invertible.
Elementary Column Matrix is Invertible
Let $\mathbf E$ be an elementary column matrix.
Then $\mathbf E$ is invertible.
Sources
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): elementary matrix