If , then the value of λ, is

Engineering

Mathematics

Introduction to Determinants

Question

If $∣ \begin{array}{ccc} - 12 & 0 & λ \\ 0 & 2 & - 1 \\ 2 & 1 & 15 \end{array} ∣ = - 360$ , then the value of λ, is

– 1

– 2

– 3

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$∣ \begin{array}{ccc} - 12 & 0 & λ \\ 0 & 2 & - 1 \\ 2 & 1 & 15 \end{array} ∣ = - 360$
Expanding along first column
⇒ (– 12) (31) – 4λ = – 360
⇒ λ = – 3

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