I'm confused about this. I know that if the dimension of the vector space is say, 2, then there will be 2 elements, right? eg. ##(adsbygoogle = window.adsbygoogle || []).push({});

\left(

\begin{array}{cc}

1 & 0\\

0 & -1

\end{array}

\right)##

What I want to know is if the dimension of vector space is still two if the matrix is like this:

##\left(

\begin{array}{cc}

1 & 0\\0 & -1\\

5 & 4

\end{array}

\right)##

The dimensions depend on the elements, and it is shown by columns, not rows?

Thanks!

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

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!

# B About dimension of vector space

Tags:

Have something to add?

Draft saved
Draft deleted

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