if $A$ is $7\times 7$ matrix with all $49$ entries being odd numbers. Show that $|A|$ is a multiple of $64$. You can use the fact that an $n\times n$ matrix with integer entries has an integer determinant.
Order 7 matrix with odd entries has determinant a multiple of 64?
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linear-algebra
matrices
determinant
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3Do you know the effect of row operations on the determinant? Can you think of a row operation that will get you lots of even entries? – 2012-11-05
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1This question matches [this Yahoo! Answers question](http://answers.yahoo.com/question/index?qid=20121105134654AAzOMJ9). – 2012-11-06