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UPSC NDA II 2024 Mathematics Paper

Question Numbers: 49-50

Direction : Consider the following for the items that follow :

Let

A = \begin{bmatrix} 3 & -3 & 4 \\ \text{ 2} & -3 & 4 \\ \text{ 0} & -1 & 1 \end{bmatrix}

Question : 50 of 120

Marks: +1, -0

What is A^-1 equal to?

$\begin{bmatrix} 1 & -1 & 0 \\ \text{ -2 } & 3 & -4 \\ \text{ -2 } & 3 & -3 \end{bmatrix}$
$\begin{bmatrix} \frac{1}{2} & -\frac{1}{2} & 0 \\ \text{ -1 } & \frac{3}{2} & -2 \\ \text{ -1 } & \frac{3}{2} & -\frac{3}{2} \end{bmatrix}$
$\begin{bmatrix} 2 & -2 & 0 \\ \text{ -4 } & 6 & -8 \\ \text{ -4 } & 6 & -6 \end{bmatrix}$
$\begin{bmatrix} \frac{1}{5} & -\frac{1}{5} & 0 \\ -\frac{2}{5} & \frac{3}{5} & -\frac{4}{5} \\ -\frac{2}{5} & \frac{3}{5} & -\frac{3}{5} \end{bmatrix}$

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