Compute the following determinant :

Engineering

Mathematics

Introduction to Determinants

Question

Compute the following determinant : $∣ \begin{array}{cc} 3 & 5 \\ - 2 & 6 \end{array} ∣$

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Let

A = ∣ \begin{array}{cc} 3 & 5 \\ - 2 & 6 \end{array} ∣

[∵ determinante = a₄a₂₂ – a₁₂a₂₁]

|A| = determinant = 3 × 6 – 5 × (– 2)

= 18 + 10 = 28

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