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Message: <blockquote data-quote="Todd" data-source="post: 2429551" data-attributes="member: 250306"><p>Brian.  To make the matrix uninvertible, he needs to ensure that one of the columns exactly equals another column.  So consider columns 1 and 2.  If Amy puts a number in one of these columns, Brian will put that same number next to it in the other column.  If Amy puts a number in any other column, Brian puts any number in any column other than 1 and 2.  Because there are an even number of entries in columns 3 through 2010, Brian will never be forced to play in columns 1 or 2 if Amy doesn't do it first.</p></blockquote><p></p>