### Home > A2C > Chapter 7 > Lesson 7.3.1 > Problem 7-155

7-155.

Let *G* be the matrix shown at right.

What is

*g*_{1,3}g

_{3,2}is the entry in the 3rd row and 2nd column. For the given matrix, g_{3,2}is −6.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*?See part (a).

All the entries of the zero matrix are

. Write the zero matrix with the same dimensions as .See part (a).

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?