NIELIT 2016 MAR Scientist B - Section B: 4

Question

What is the determinant of the matrix 

$\begin{bmatrix}5&3&2\\1&2&6\\3&5&10\end{bmatrix}$

• A. $-76$
• B. $-28$
• C. $+28$
• D. $+72$

Comments

B is the correct answer

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(B)

Answer 1

Option B) is correct

Expanding through $1st$ column

$5[20-30] -1[30-10] +3[18-4]$

$=-50-20+42 = -28$