Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Matrices

Question:

The value of the $\begin{vmatrix}3 & -4 & 5\\1 & 1 & -2\\2 & 3 & 1\end{vmatrix} $ is :

Options:

46

-46

92

-92

Correct Answer:

46

Explanation:

The correct answer is Option (1) → 46

$\begin{vmatrix}3 & -4 & 5\\1 & 1 & -2\\2 & 3 & 1\end{vmatrix}$

$=3(1+6)+4(1+4)+5(3-2)$

$=3×7+4×5+5×1$

$=21+20+5$

$=46$