# How do you find the inverse of A=((1, 2, 3, 4), (5, 6, 7, 8), (9, 10, 11, 12), (13, 14, 15, 16))?

Feb 13, 2016

$A$ has no inverse since its rows are not linearly independent and its determinant is zero.

#### Explanation:

The rows of the matrix are not linearly independent.

For example, if you add row $4$ to row $1$ and subtract rows $2$ and $3$ then the result is a row of $0$'s.

So the determinant is $0$ and $A$ has no inverse.