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Det [[2,-1],[-1,2]]

\left[\begin{matrix}2 & -1\\-1 & 2\end{matrix}\right]

Step by step

  1. \det\left[\begin{matrix}2 & -1\\-1 & 2\end{matrix}\right]

    Determinant of a 2×2 matrix.

  2. = (2)(2) - (-1)(-1)

    For 2×2: ad − bc.

  3. \det A = 3

    Result.

Reveal the answer
\det A = 3