Elementary Matrix is Nonsingular

Theorem

Elementary Row Matrix is Nonsingular

Let $\mathbf E$ be an elementary row matrix.

Then $\mathbf E$ is nonsingular.


Elementary Column Matrix is Nonsingular

Let $\mathbf E$ be an elementary column matrix.

Then $\mathbf E$ is nonsingular.


Sources

  • 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): elementary matrix
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