The number of values of x for which the matrix A=3−x 2 22 4−x 1−2 −4 −1 −x is singular, is

det⁡A=3−x2224−x1−2−4−1−x=0=−(x−3)2x=0⇒x=0,3

The number of values of x for which the matrix A=3−x 2 22 4−x 1−2 −4 −1 −x is singular, is

det⁡A=3−x2224−x1−2−4−1−x=0=−(x−3)2x=0⇒x=0,3

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The number of values of $x$ for which the matrix $A = [\begin{array}{rrr} 3 - x 2 2 \\ 2 4 - x 1 \\ - 2 - 4 - 1 - x \end{array}]$ is singular, is

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$\det A = |\begin{array}{ccc} 3 - x & 2 & 2 \\ 2 & 4 - x & 1 \\ - 2 & - 4 & - 1 - x \end{array}|$ =0

$= - (x - 3)^{2} x = 0 \Rightarrow x = 0, 3$

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The number of values of x for which the matrix A=3−x 2 22 4−x 1−2 −4 −1 −x is singular, is

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The number of values of $x$ for which the matrix $A = [\begin{array}{rrr} 3 - x 2 2 \\ 2 4 - x 1 \\ - 2 - 4 - 1 - x \end{array}]$ is singular, is