Business I / Determinants
Practice question · Numerical answer

Compute det(5342)\det\begin{pmatrix} 5 & 3 \\ 4 & 2 \end{pmatrix}.

Hints
  1. adbcad - bc.
  2. 52345\cdot 2 - 3\cdot 4.
Show the answer

-2

Why

1012=210 - 12 = -2. Nonzero, so the matrix is invertible; the minus sign says the transformation flips orientation, the parallelogram is traced the other way around.

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