Let $A$ be $3\times 3$ matrix with \

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

Let $A$ be $3\times 3$ matrix with $a_{ij}=\pi$ for all $1\leq i,j\leq 3$ Then determinant of $A$ is

Options:

$\pi$

$3\pi$

$0$

None

Correct Answer:

$0$

Explanation:

$A=\begin{bmatrix}π&π&π\\π&π&π\\π&π&π\end{bmatrix}$

$|A|=0$