Let G be the matrix shown at right.

1. What is g_1,3

   Hint (a):

   g_3,2 is the entry in the 3rd row and 2nd column. For the given matrix, g_3,2 is −6.

2. Two matrices can be added only if they have the same dimensions. If matrix H can be added to matrix G, what must be the dimensions of H?

   Hint (b):

   See part (a).

3. All the entries of the zero matrix are $0$. Write the zero matrix with the same dimensions as $G$.

   Hint (c):

   See part (a).

4. Create a matrix to add to matrix G to get the zero matrix. This is called the additive inverse of a matrix. What could you name your new matrix to show its relationship to $G$?

$G =\begin{vmatrix} 16 & 3 & -4 & 21 \\ 19 & 31 & 12 & 17 \\ 25 & -6 & 8 & 11 \\ \notag \end{vmatrix}$