Find the value of the determinant:

Engineering

Mathematics

Introduction to Determinants

Properties of Determinant

Question

Find the value of the determinant:
$∣ \begin{array}{cc} 5 & - 2 \\ - 3 & 1 \end{array} ∣$

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$∣ \begin{array}{cc} 5 & - 2 \\ - 3 & 1 \end{array} ∣ = (5 \times 1) - [(- 2) \times (- 3)] = 5 - 6 = - 1$
∴ Value of the determinant is –1.