Account for the malleability and ductility of metals on the basis of electron gas theory.

Explanation

When force (stress) is applied to a metal kernels (Positive ions or lattice points) layers slide over one another. The shape of the metal gets deformed.
Freely moving electrons also move around the deformed layers and the environment around the metal ions remains unchanged.
OR
According to electron gas theory, a metal contains an array of positively charged metal ions in a sea of mobile valence electrons and the bonding is non directional.