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Linear Algebra

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Moderate

2x2 Matrix Invertible with Parameter 2

LINALG-CDVRSM

Pick the real number value of $b$, if it exists, such that the matrix:

$$\begin{pmatrix}b&1\\\ -1&b+1\end{pmatrix}$$

...is not invertible.

A

$-1$

B

$0$

C

$1$

D

$2$

E

This matrix is invertible for any real value of $b$.