Problem $7$: Solving a Small Linear System

A matrix, to remind you, is a rectangular collection of numbers. Matrices play vital roles in AI$,$

finance, physics, etc.. A $22$ square matrix is the smallest useful matrix:

x $=$

a c

b d $(51)$

A matrix can be effectively captured with Python lists:

$1$ x $=[[$ a $,$ b $],[$ c $,$ d $]]$

The determinant of a matrix is a real number that indicates certain properties. It$$s calculated by

finding the difference between diagonals:

det$($x$)=$ ad$$bc $(52)$

Your first task will be to implement a function det$()$ that takes a $22$ matrix and returns the

determinant. For example, this code

$1$ def d e t e r m i n a n t $($ matrix $)$ :

$2($a $,$ b $),($c $,$ d $)=$ matrix

$3$ pass

$4$

$5$ print $($ d e t e r m i n a n t $([[1,2],[2,3]]))$