Question

In arithmetic, the aditive identity says that for some number a, a + 0 = 0 + a = 0. What would be an aditive

identity in matrix arithmetic?

Answer 1

Explanation:

Answer 2

Let's have a matrix [M]

The aditive identity for matrix arithmetic would be [M]+[0]=[0]+[M]

Explanation:

Let [0] be a full-zero matrix

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

If we add [0] for any [M] matrix, the [M] matrix won't change.

Then [M]+[0]=[0]+[M]=[M]