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

7-155.

Let

*G*be the matrix shown below. Homework Help ✎What is

*g*_{1,3}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*?All the entries of the zero matrix are 0. Write the zero matrix with the same dimensions as

*G*.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_{3,2} is the entry in the 3rd row and 2nd column. For the given matrix, g_{3,2} is −6.

See part (a).

See part (a).