Please explain how Partial Fraction Decomposition and how to solve for the constants for linear, repeated linear, and irreducible quadratic factors.
Ok, then. Um, how do I turn a partial fraction decomposition into a system of equations to use as an augmented matrix to find the corresponding constants?
[ -(x^2) + 2x + 4 ] / [ x^3 - 4x^2 + 4x ]
A1/x + A2/(x-2) + A3/[ (x-2)^2 ]
These are the decomposition factors, but what do I do now to find the constants?