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$A = [\begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix}], B = [\begin{matrix} 2 & 0 \\ 0 & 2 \end{matrix}]$ let X be $2 \times 2$ matrix such that $X^{1} A X = B$
Statement – I : X is a non singular and det $X = \pm 2$
Statement – I : X is singular matrix

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Correct option is C

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A=1001,B=2002 let X be 2 × 2 matrix such that X1A X=B Statement – I : X is a non singular and det X=± 2Statement – I : X is singular matrix

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$A = [\begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix}], B = [\begin{matrix} 2 & 0 \\ 0 & 2 \end{matrix}]$ let X be $2 \times 2$ matrix such that $X^{1} A X = B$
Statement – I : X is a non singular and det $X = \pm 2$
Statement – I : X is singular matrix