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The value of x for which the matrix $A = [\begin{array}{ccc} 2 / x & - 1 & 2 \\ 1 & x & 2 x^{2} \\ 1 & 1 / x & 2 \end{array}]$ is singular is

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Correct option is A

We have|A|=2xx2x21/x2+12x212+21x11/x=2x(0)+2−2x2+21x−x=2x1−x2+21−x2x=2(x+1)2(1−x)xNow, |A|=0 ⇒ x=±1.

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The value of x for which the matrix A=2/x−121x2x211/x2 is singular is

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The value of x for which the matrix $A = [\begin{array}{ccc} 2 / x & - 1 & 2 \\ 1 & x & 2 x^{2} \\ 1 & 1 / x & 2 \end{array}]$ is singular is