Find the determinant of the matrix.
det
[
−
7
4
5
−
1
0
−
7
9
7
0
0
4
2
0
0
0
−
1
]
=
\displaystyle {\det{{\left[\begin{array}{cccc} -{7}&{4}&{5}&-{1}\\{0}&-{7}&{9}&{7}\\{0}&{0}&{4}&{2}\\{0}&{0}&{0}&-{1}\end{array}\right]}}}=
det
⎣
⎡
−
7
0
0
0
4
−
7
0
0
5
9
4
0
−
1
7
2
−
1
⎦
⎤
=
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\displaystyle
Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity