Partial Fraction Expansion Issue/Question - confusing result

Hi all,

I tried to find the partial fraction expansion of a transfer function, and was given a confusing result.

This screenshot is my result. I'm confused by the last line in the p matrix. How can I have a number in the numerator (last line of r), but have 0+0i in the denominator? Is there a mistake in my original denominator a and numerator b?

This screenshot above is my numerator, denominator, and residue function.

Answer 1

[Star Strider]

It just appears to be confusing.

The Symbolic Math Toolbox partfrac function gives:

or with the fractions rationalised:

So perhaps that will help to explain it.

[Miranda Holder]

Right - duh! Guess my lack of sleep is getting to me. Thanks so much for clearing that up!

[Star Strider]

As always, my pleasure!

(Been there...)