# Is the sum of two invertible matrices necessarily invertible?

##### 1 Answer

May 20, 2018

No

#### Explanation:

A minimal example with

#(1) + (-1) = (0)#

A less trivial example with

#((1, 1), (0, 1)) + ((-1, 1), (0, -1)) = ((0, 2), (0, 0))#