Understanding 3x3 Matrices: An Overview

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I have no idea what this is! Please can someone explain comparing to a 3x3 matrix?
 
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The null vector is the neutral element of addition in a vectorspace: ##\vec{a}+\vec{0}=\vec{a}##.

In our 3-dimensional space, for example, it can be written as

$$\begin{pmatrix} 0 \\ 0 \\ 0 \end{pmatrix}$$

I don't see a reasonable way to compare it to a 3x3-matrix.
 
mfb said:
The null vector is the neutral element of addition in a vectorspace: ##\vec{a}+\vec{0}=\vec{a}##.

I have a question in my notes saying 'Find a null vector for the following matricies'. They are all 2x2. Can you give an example showing how to do it?
 
Post the full problem statement, please.

I would guess that you should find a (not null) vector, which, multiplied with your matrices, gives the null vector as result.
 

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