A COMMON SENSE QUESTION(-commonsense/2))
Let's say we have a theoretical 6D cube(side length one) then which is transformed.The matrix of transformation is defined as follows.
1 2 3 4 5 6
7 8 9 10 11 12
13 14 15 16 17 18
19 20 21 22 23 24
25 26 27 28 29 30
31 32 33 34 35 36
The volume of this cube is k and the space diagonal is n .find n sqrt(k+6) Use common sense or calculator if necessary?
The answer is 6.
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1 solution
You might have said that the determinant of the matrix is 0 because the integers are consecutive and that is a property of those matrixes or you calculated and also got 0.So the volume is 0 original volume which is 0.0+6 is 6.In DEFINITELY NOT A COMMON SENSE PROBLEM it is explained how to find a space diagonal of a N dimensional cube.Anyways using that technique we have sqrt 6.sqrt6 sqrt6=6.