Mention the important series of events of aerobic respiration that occur in the matrix of the mitochondrion as well as one that take place in the inner membrane of the mitochondrion.

(N/A) The events occurring in the mitochondrial matrix include the Tricarboxylic Acid $(TCA)$ cycle (Krebs cycle). The cycle begins with the condensation of an acetyl group $(2C)$ with oxaloacetic acid ($OAA$,$4C$) and water to yield citric acid $(6C)$,catalyzed by citrate synthase.
Following this,citric acid undergoes isomerization to isocitrate,followed by two successive steps of decarboxylation,forming $\alpha$-ketoglutaric acid and then succinyl-$CoA$.
Succinyl-$CoA$ is then oxidized to $OAA$ to complete the cycle. During this process,$GTP$ is synthesized via substrate-level phosphorylation,which is then converted to $ATP$. Additionally,$NAD^{+}$ is reduced to $NADH + H^{+}$ at three points,and $FAD^{+}$ is reduced to $FADH_{2}$ at one point.
The event occurring in the inner mitochondrial membrane is the Electron Transport System $(ETS)$. In this process,electrons from $NADH$ and $FADH_{2}$ (produced in the matrix) are passed through a series of complexes ($Complex-I$ to $IV$).
As electrons move through the $ETS$,protons $(H^{+})$ are pumped into the intermembrane space,creating a proton gradient. This gradient drives $ATP$ synthase $(Complex-V)$,which synthesizes $ATP$ from $ADP$ and inorganic phosphate $(\Pi)$ as protons flow back into the matrix. Oxygen acts as the final electron acceptor,combining with electrons and protons to form water.