Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Matrices

Question:

If $A=\begin{bmatrix}1 & 1 & -2\\2 & 1 & -3\\5 & 4 & -9 \end{bmatrix}$, then |A| is equal to

Options:

0

1

-1

2

Correct Answer:

0

Explanation:

The correct answer is Option (1) → 0

$A=\begin{bmatrix}1 & 1 & -2\\2 & 1 & -3\\5 & 4 & -9 \end{bmatrix}$

$C_3→C_3+C_1+C_2$

$|A|=\begin{bmatrix}1 & 1 & 0\\2 & 1 & 0\\5 & 4 & 0\end{bmatrix}$

$⇒|A|=0$