perplexus.info :: Just Math : Maximum Determinant

Maximum Determinant (Posted on 2024-09-30)

If A is a 3*3 matrix whose elements can be from the set {0,1,2,3}, then find the maximum value of determinant of A.

No Solution Yet Submitted by Danish Ahmed Khan

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brute force

Comment 1 of 1

The maximum determinant is 54, from

0 3 3

3 0 3

3 3 0

lim=base2dec('333333333',4);

mx=0;

for n=1:lim

m=dec2base(n,4,9);

m=reshape(m,3,3)-'0';

if det(m)>mx

savem=m;

mx=det(m);

end

savem

mx =
    54
savem =
     0     3     3
     3     0     3
     3     3     0

Posted by Charlie on 2024-09-30 20:20:41

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