For how many values of - x - in the closed interval -4-1- is the matrix - 3 -1-x 2- 3 -1 x-2- x-3 -1 2 - singular-

The correct option is D 1 Det= x[3x^2+4x 4], det=0 ⇒ x=0, x=2/3, x= 2 ...

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Singular and Non Singualar Matrices

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Question

For how many values of ‘x’ in the closed interval [-4, -1] is the matrix $⎡ ⎢ ⎣ \begin{matrix} 3 & - 1 + x & 2 3 & - 1 & x + 2 x + 3 & - 1 & 2 \end{matrix} ⎤ ⎥ ⎦$ singular?

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Similar questions

[- 4, - 1]

⎡ ⎢ ⎣ \begin{matrix} 3 & - 1 + x & 2 3 & - 1 & x + 2 x & - 1 & 2 \end{matrix} ⎤ ⎥ ⎦

x

[- 4, - 1]

⎡ ⎢ ⎣ \begin{matrix} 3 & - 1 + x & 2 3 & - 1 & x + 2 x + 3 & - 1 & 2 \end{matrix} ⎤ ⎥ ⎦

x

[- 4, - 1]

A

A = ⎡ ⎢ ⎣ \begin{matrix} 3 & - 1 + x & 2 3 & - 1 & x + 2 x + 3 & - 1 & 2 \end{matrix} ⎤ ⎥ ⎦

x

[- 4, - 1]

⎡ ⎢ ⎣ \begin{matrix} 3 & - x - 1 & 2 3 & - 1 & x + 2 x + 3 & - 1 & 2 \end{matrix} ⎤ ⎥ ⎦

A = ⎡ ⎢ ⎣ \begin{matrix} 3 & - 1 + x & 2 3 & - 1 & x + 2 x + 3 & - 1 & 2 \end{matrix} ⎤ ⎥ ⎦

x \in [- 5, - 2]

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