The matrix [$$3$$−x $$2$$ $$22$$ $$4$$−x $$1$$−$$2$$ −$$4$$ −$$1$$−x] is singular, then the value of x is

Question

The  matrix [$$3$$−x           $$2$$                   $$22$$              $$4$$−x               $$1$$−$$2$$          −$$4$$           −$$1$$−x]      is singular, then  the value of x      is

Infinity Learn · Accepted Answer

If the given matrix is singular, $$then3-x2224-x1-2-4-1-x=0$$                                                                      ⇒  −$$x(3$$−$$x)2=0$$.Hence, the given matrix is singular for $$x=0$$,  $$3$$.

The matrix $[\begin{matrix} 3 - x 2 2 \\ 2 4 - x 1 \\ - 2 - 4 - 1 - x \end{matrix}]$ is singular, then the value of $x$ is

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The matrix [3−x 2 22 4−x 1−2 −4 −1−x] is singular, then the value of x is

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The matrix $[\begin{matrix} 3 - x 2 2 \\ 2 4 - x 1 \\ - 2 - 4 - 1 - x \end{matrix}]$ is singular, then the value of $x$ is