### Home > A2C > Chapter 7 > Lesson 7.3.5 > Problem7-218

7-218.

Show that each of the following pairs of matrices are inverses.

1. $\left[ \begin{array} { c c } { 1 } & { 2 } \\ { 3 } & { 4 } \end{array} \right] \text { and } \left[ \begin{array} { c c } { - 2 } & { 1 } \\ { 1.5 } & { - 0.5 } \end{array} \right]$

Remember to multiply the rows of the first matrix by the columns of the second one.

Remember that matrices are inverse, if their product equals .

These matrices are inverse.

1. $\left[ \begin{array} { c c } { 4 } & { - 5 } \\ { - 3 } & { 4 } \end{array} \right] \text { and } \left[ \begin{array} { c c } { 4 } & { 5 } \\ { 3 } & { 4 } \end{array} \right]$

See part (a).