Find the value of x for which the determinant - - 2x - 3 x - 2 x - 1- x - 2 2x - 2 x- x - 1 x 2x - 1 - vanishes if

R_1→ R_1 (R_2+R_3) | [ 0 amp; 2x amp; 2x; x 2 amp;2x 2 amp;x; x 1 amp;x amp;2x 1 ]|= ( 2x)[(2x 2)(2x 1) x^2 ] +( 2x)[(x 2)x ( ...

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Properties of Determinants

Find the valu...

Question

Find the value of $x$ for which the determinant $∣ ∣ ∣ ∣ \begin{matrix} 2 x - 3 & x - 2 & x - 1 x - 2 & 2 x - 2 & x x - 1 & x & 2 x - 1 \end{matrix} ∣ ∣ ∣ ∣$ vanishes if

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