Determinant of upper triangular matrix
Find the determinant of the matrix
⎝ ⎜ ⎜ ⎜ ⎜ ⎛ 1 0 0 0 0 0 − 6 0 0 0 − 1 − 1 3 1 0 0 9 9 − 8 0 9 0 1 1 1 1 3 1 7 − 5 ⎠ ⎟ ⎟ ⎟ ⎟ ⎞ .
The answer is 90.
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For an upper triangle matrix, the determinant is simply product of diagonal entries.
Determinant = ( 1 ) ( − 6 ) ( 3 1 ) ( 9 ) ( − 5 ) = 9 0