is transaction management applicalble without using @transactional over a method

Question

Have the following configuration in a java project-

<bean id="testTxManager" class="org.springframework.jdbc.datasource.DataSourceTransactionManager">
        <property name="dataSource" ref="testDataSource" />
    </bean>

    <bean class="org.springframework.transaction.aspectj.AnnotationTransactionAspect" factory-method="aspectOf">
        <property name="transactionManager" ref="testTxManager" />
    </bean>

But in the DOA java class, @transactional is not used over any of the methods. Will Transaction management be still applicable on these methods?