Could we say that time constants are decoupled from each other (and therefor can be factored) when they have no shared (or common) resistance in their individual time constants?
You have taken N th order system but the number of Poles you have taken N'(5:52).... So, is it true that order of the system = Number of Poles? Apart from that, you have taken Number of Time constant = Order of the system (19:03)... So, what is correct? Another doubt is: Who is greater? Number of Time constant or Number of Pole
At 23:00, do we have two poles and and no zero here? But isn't it true that number of poles and number of zeros are always equal? Can we say we have two zeroes but they are at infinity here? Please correct me if I am wrong. Also, does "zero at infinity" tell anything more?