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If A=[1 1-1 2 0 3 3-1 2], B=[1 0-13 2 4]...

If `A=[1 1-1 2 0 3 3-1 2]`, `B=[1 0-13 2 4]`and `C=[1 2 3-4 2 0-2 1]`, find A(BC), (AB)C and show that `(A B)C = A(B C)`.

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To solve the problem, we need to calculate \( A(BC) \), \( (AB)C \), and show that \( (AB)C = A(BC) \). ### Step 1: Calculate \( AB \) Given: \[ A = \begin{bmatrix} 1 & 1 & -1 \\ 2 & 0 & 3 \\ 3 & -1 & 2 \end{bmatrix} \] \[ B = \begin{bmatrix} 1 & 0 & -1 \\ 3 & 2 & 4 \end{bmatrix} \] ...
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