Question

What matrix in ℝ2 serves the role of 0 in the real number system? What is that role?

Answer 1

Answer:

What matrix in ℝ2 serves the role of 0 in the real number system?

$\left[\begin{array}{ccc}0&0\\0&0\end{array}\right]$

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 $\left[\begin{array}{ccc}0&0\\0&0\end{array}\right]$ and the answer is still the same matrix.

This role is called "additive identity".