Do all linear transformations are matrix transformation? In a book by David C Lay, he wrote on page 77 that not all linear tranformations are matrix transformations and on page 82 he wrote that very linear transformation from R(adsbygoogle = window.adsbygoogle || []).push({}); ^{n}to R^{m}is actually a matrix transformation. I know that every matrix transformation is linear but not sure about the reverse.

**Physics Forums | Science Articles, Homework Help, Discussion**

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!

# Linear transformation and matrix transformation

**Physics Forums | Science Articles, Homework Help, Discussion**