Loading...

## Product of reduced row-echelon matrices is also reduced row-echelon

Show that the product of two reduced row-echelon matrices is also reduced row-echelon. That's what I think: A reduced row-echelon matrix has columns like $e_1 =(1, 0, \cdots , 0)^T$ and $e_2 =(0, 1, 0, \cdots , 0)^T$. For columns in between $e_n$ and $e_{n+1}$, only the first $n$ entries will be non-zero. By noticing these two, I can 'imagine' that the product should be reduced row-echelon. But I cannot write down a clear proof for that. Or say, I don't even know how to start my proof. Can someone give me a helping hand?

## Solutions/Answers:

### Our Awesome Free Tools

- Check your IP Address precisely
- Online JSON Formatter with Syntax Highlight
- Online CSS Minifier Compressor
- Online Javascript Minifier Compressor
- Online MD5 Hash Generator
- Online SHA-1, SHA-256, SHA-512 Generator
- Online Base64 Encoder/Decoder
- Online CRC-32 Calculator
- Online Triple DES Encryptor/Decryptor
- Best World Clocks

## References

- Database Administration Tutorials
- Programming Tutorials & IT News
- Linux & DevOps World
- Entertainment & General News
- All the Free, Online Tools you need

Loading...