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Condition for a Noninvertible Matrix

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Let BB be the matrix defined as B=(xx+52x+1x−1)B=\begin{pmatrix} x & \sqrt{x+5} \\ \frac{2}{x+1} & x-1 \end{pmatrix}. For which of the following approximate real values of xx is matrix BB noninvertible?

A

Approximately x≈2.5x\approx2.5

B

Approximately x≈−3x\approx-3

C

Approximately x≈0.5x\approx0.5

D

Approximately x≈1.93x\approx1.93

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