Question: 3. If B = $$begin{bmatrix} -I & A A & -I end{bmatrix}$$, where A is an m x m symmetric matrix such that A

3. If B =

$$\begin{bmatrix} -I & A \\ A & -I \end{bmatrix}$$, where A is an m x m symmetric matrix such that A² = A, show that |B| = (-1)ᵐ.

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