Step 1: Understanding the Concept:
Linkage isomerism occurs in coordination compounds containing ambidentate ligands, which can bind to the central metal atom through more than one donor atom.
Step 3: Detailed Explanation:
In the given complexes, the ligand is the nitrite ion (\(NO_2^-\)).
In \([Co(NH_3)_5(NO_2)]^{2+}\), the nitrite ligand is linked to the Cobalt metal atom through the Nitrogen atom (\(M-NO_2\)).
In \([Co(NH_3)_5(ONO)]^{2+}\), the nitrite ligand is linked to the Cobalt metal atom through an Oxygen atom (\(M-ONO\)).
Because the same ligand is attached through different donor atoms, these are linkage isomers.
Step 4: Final Answer:
The complexes are linkage isomers.