Final answer:
Succinate dehydrogenase is the only Krebs cycle enzyme located in the inner mitochondrial membrane, differentiating it from other cycle enzymes found in the mitochondrial matrix.
Step-by-step explanation:
The enzyme of the Krebs (TCA) cycle that is different from the others with respect to its location is succinate dehydrogenase, which is located within the inner mitochondrial membrane. Most enzymes of the Krebs cycle are located in the mitochondrial matrix, but succinate dehydrogenase is unique because it is embedded in the inner membrane. This enzyme catalyzes the oxidation of succinate to fumarate using flavin adenine dinucleotide (FAD) as the oxidizing agent, and it facilitates the transfer of electrons directly to the electron transport chain without the need for a soluble carrier.