Hello, guys. Last week I have begin my study of linear algebra from cero. I am learining about the basics of matrices.(adsbygoogle = window.adsbygoogle || []).push({});

Please, I would like to know if this is ok:

1. Let "In" be the identity matrix (n x n).

2. Let "e1" be an elementary row operation such that, applied to In, we obtain the elementary matrix E1.

3. Let "e2" be another elementary row operation such that, applied to E1, we obtain the elementary matrix E2.

4. Let A be an n x n matrix.

Then, if we apply "e1" to A, we obtain the matrix E1A, and if we apply "e2" to this last one, we obtain the matrix E2E1A.

Thanks for confirmation (or correction) of this proposition.

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Basics of multiplication of matrices

Loading...

Similar Threads for Basics multiplication matrices | Date |
---|---|

Least Square basic problem | Jan 20, 2018 |

B Associativity of Matrix multiplication | Jun 9, 2017 |

I Basic Notation for Field Extensions ... | Apr 10, 2017 |

I Basics of Field Extensions ... ... Ireland and Rosen, Ch 12 | Mar 30, 2017 |

I Using determinant to find constraints on equation | Jan 15, 2017 |

**Physics Forums - The Fusion of Science and Community**