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  1. Value of x making a matrix singular ●○○○○ 10 ptsFind the value of xx for which the matrix (1+x73−x8)\begin{pmatrix} 1 + x & 7 \\ 3 - x & 8 \end{pmatrix} is not invertible. Round to two decimal places.
  2. Singular 2x2 matrix parameter ●○○○○ 10 ptsFor which values of λ\lambda does A−1A^{-1} not exist, where A=(λ1−1−λ)A=\begin{pmatrix}\lambda&1\\-1&-\lambda\end{pmatrix}? Give all such values in increasing order.