If A is 3x3 with all entries 1's and 0's, what is the max value of det(A)? I answered it to be 1, which is wrong. Can someone help me? Thanks!
Last edited by page929; Nov 27th 2011 at 06:45 AM.
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Originally Posted by page929 If A is 3x3 with all entries 1's and 0's, what is the max value of det(A)? I answered it to be 1, which is wrong. Can someone help me? Thanks! Hint:
Use Laplace's formula on the first row and you'll get since each entry can only be either 1 or 0, just try to find the coefficients such that you are always summing and not subtracting. You will find that the answer to your question is 2.
[1 1 0] [0 1 1] [1 0 1] maximizes the positive contributions, and minimizes the negative contributions. (seeing is believing).
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