If [x] stands greatest integer ≤ x then the value of equals to = ?

Engineering

Mathematics

Introduction to Determinants

Question

If [x] stands greatest integer ≤ x then the value of $∣ \begin{array}{ccc} [e] & [π] & [π^{2} - 6] \\ [π] & [π^{2} - 6] & [e] \\ [π^{2} - 6] & [e] & [π] \end{array} ∣$ equals to = ?

– 8

– 1

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[x] Greatest integer

= ∣ \begin{array}{ccc} [e] & [π] & [π^{2} - 6] \\ [π] & [π^{2} - 6] & [e] \\ [π^{2} - 6] & [e] & [π] \end{array} ∣

= ∣ \begin{array}{ccc} 2 & 3 & 3 \\ 3 & 3 & 2 \\ 3 & 2 & 3 \end{array} ∣

= 2(5) – 3(3) + 3(– 3)

= – 8

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