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Use product \(\begin{bmatrix} 1 & -1 & 2 \\[0.3em] 0 & 2 & -3\\[0.3em] 3 & -2 & 4 \end{bmatrix}\)\(\begin{bmatrix} -2 & 0 & 1 \\[0.3em] 9 & 2 & -3\\[0.3em] 6 & 1 & -2 \end{bmatrix}\) to solve the system of equations x + 3z = 9, –x + 2y –2z = 4, 2x – 3y + 4z = –3.

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\(\begin{bmatrix} 1 &-1 & 2 \\[0.3em] 0 & 2 & -3\\[0.3em] 3 & -2 & 4 \end{bmatrix}\)\(\begin{bmatrix} -2 & 0 & 1 \\[0.3em] 9 & 2 & -3\\[0.3em] 6 & 1 & -2 \end{bmatrix}\)

Now given system of equations can be written in matrix form as,

AX = B, Where,

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