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Sarrus Rule

Find value of...

Question

Find value of Determinant using SarrUs Rule $∣ ∣ ∣ ∣ \begin{matrix} 1 & 2 & 6 3 & 1 & 5 7 & 2 & 1 \end{matrix} ∣ ∣ ∣ ∣$

A

40

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B

49

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C

54

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D

60

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Solution

The correct option is B 49
We know by Sarrus Rule:

draw

Sum of products along solid diagonal - sum of products along dashed diagonal
= 1 + 2(5)(7) + 6(3)(2) - 6(1)(7) - 1(5)(2) - 2(3)(1)
= 1 + 70 + 36 - 42 - 10 - 6 = 49

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