Problem Statement

Given

which in matrix format is

Then the values of

x , y

{\displaystyle x,y}

and

z

{\displaystyle z}

can be found as follows:

Given the following system of equations:

solve for

w

{\displaystyle w}

,

x

{\displaystyle x}

,

y

{\displaystyle y}

and

z

{\displaystyle z}

, using Cramer's rule.

Let's start with the solution:

M = [2,-1,5,1;3,2,2,-6;1,3,3,-1;5,-2,-3,3];
V = Col([-3,-32,-47,49]);

matadjoint(M) * V / matdet(M)