Question

Is it defined or undefined

Answer 1

The matrix addition is defined

The matrix addition results to

`\left[\begin{array}{ccc}-4&8&0\\0&4&-3\end{array}\right]`

When is matrix addition undefined

Matrix addition is defined when the matrices involved have the same dimensions.

You can add two matrices A and B if they have the same number of rows and the same number of columns.

The given matrices are both 2 by 3 matrix hence the have same dimension and the addition is defined.

The addition is as follows:

-2 + -2 = - 4

2 + 6 = 8

3 + (-3) = 0

-2 + 2 = 0

5 - 1 = 4

-4 - 5 = -9

The matrix addition results to

`\left[\begin{array}{ccc}-4&8&0\\0&4&-3\end{array}\right]`