Answer:
What matrix in ℝ2 serves the role of 0 in the real number system?
[tex]\left[\begin{array}{ccc}0&0\\0&0\end{array}\right][/tex]
What is that role?
The role is additive identity.
Step-by-step explanation:
In the real number system, you can add any number to 0 and the answer is still the same number.
In ℝ2, you can add any matrix (same size) to [tex]\left[\begin{array}{ccc}0&0\\0&0\end{array}\right][/tex] and the answer is still the same matrix.
This role is called "additive identity".
