Determinants 4.1
What? A 5 by 5 matrix!!
Find
d e t ⎝ ⎜ ⎜ ⎜ ⎜ ⎛ 1 1 1 1 1 1 2 3 4 5 1 3 6 1 0 1 5 1 4 1 0 2 0 3 5 1 5 1 5 3 5 7 0 ⎠ ⎟ ⎟ ⎟ ⎟ ⎞
The answer is 1.
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keep subtracting until we reduce all but 1 of the entries in the top row to zero. Keep doing this and eventually, you should end up with a 2x2 determinant whose determinant should be trivial to compute due to the symmetry of the problem