Find the partial fraction decomposition of
2 + 36 3 + 2
by creating a system of equations for the values you are seeking. Solve that matrix using 3 different techniques. We studied substitution, elimination, Gaussian elimination, matrix inverses, and Cramer’s rule.
a) The system of equations is:
b) Detailed solution of system using method 1:
c) Detailed solution of system using method 2:
d) Detailed solution of system using method 3:
e) Solution of the original question: the partial fraction decomposition.