# Find the determinant of the matrix: [[2,1,4],[-3,1,5],[4,0,0]]

Mylo O'Moore 2021-10-17 Answered
Find the determinant of the matrix:
$$\displaystyle{\left[\begin{array}{ccc} {2}&{1}&{4}\\-{3}&{1}&{5}\\{4}&{0}&{0}\end{array}\right]}$$

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Isma Jimenez
$$\displaystyle{\left[\begin{array}{ccc} {2}&{1}&{4}\\-{3}&{1}&{5}\\{4}&{0}&{0}\end{array}\right]}$$
$$\displaystyle={2}{\left({0}-{0}\right)}–{1}{\left({0}-{20}\right)}+{4}{\left({0}–{4}\right)}={0}+{20}–{16}={4}$$
D = 4