How can I determine type of mysql database : whether it is InnoDB or MyISAM?

To determine the storage engine being used by a table, you can use show table status. The Engine field in the results will show the database engine for the table. Alternately, you can select the engine field from information_schema.tables:

select engine 
from   information_schema.tables 
where  table_schema = 'schema_name'
   and table_name = 'table_name' 

You can change between storage engines using alter table:

alter table the_table engine = InnoDB;

Where, of course, you can specify any available storage engine.

SHOW TABLE STATUS FROM `database`;

will list everything for all tables, starting with whether they are MyISAM or InnoDB. if you desire to list only data regarding 1 table, the syntax below may be used* :

SHOW TABLE STATUS FROM `database` LIKE 'table';

to change the table engine:

ALTER TABLE `table` ENGINE=InnoDB;

*attention use the GRAVE ACCENT (` backtick) for the database name and the table name and the SINGLE QUOTE (') for the comparison string (portion of table name) after LIKE.

` != '

Select the database in question and run show table status;