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Not sure what you are asking.

JTable is a class is created by using a new statement and passing it an argument:
table = new JTable(new MyTableModel());

Your questions say that you know little...

What do you mean by "call the table"? Are you talking about getting a copy of the variable: table so you can call its methods?

What data type is the matrix? Do you want to pass a variable that...

Please post the code here that you are having problems with. Be sure to wrap the code in code tags.