GARISSA, Kenya — More than a dozen people were shot, one woman died, and hundreds of shops were burned to the ground in this eastern Kenyan town amid rising Somali-Kenyan tensions, officials said Tuesday.

The violence follows a lethal attack in the town on Monday in which three Ken­yan soldiers were killed. Local sympathizers of al-Shabab — a Somali Islamist extremist group that Kenyan troops are battling in Somalia — are suspected to be responsible for the soldiers’ deaths, said a military spokesman, Colonel Cyrus Oguna.