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Solve the matrix equation : 2x+{:[(-3,2,...

Solve the matrix equation : `2x+{:[(-3,2,6),(5,-1,0),(3,-6,-2)]:}={:[(5,-8,-4),(1,3,10),(-5,8,0)]:}`.

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To solve the matrix equation \( 2x + \begin{pmatrix} -3 & 2 & 6 \\ 5 & -1 & 0 \\ 3 & -6 & -2 \end{pmatrix} = \begin{pmatrix} 5 & -8 & -4 \\ 1 & 3 & 10 \\ -5 & 8 & 0 \end{pmatrix} \), we will follow these steps: ### Step 1: Isolate the term with \( x \) We start by moving the matrix on the left-hand side to the right-hand side of the equation. This gives us: \[ 2x = \begin{pmatrix} 5 & -8 & -4 \\ 1 & 3 & 10 \\ -5 & 8 & 0 \end{pmatrix} - \begin{pmatrix} -3 & 2 & 6 \\ 5 & -1 & 0 \\ 3 & -6 & -2 \end{pmatrix} \] ...
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