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(Solved): Determine the inverse of the matrix using the column form of matrix multiplication.
Solve the fol ...
Determine the inverse of the matrix using the column form of matrix multiplication.
Solve the following system of linear equations by determining the inverse of the coefficient matrix and using matrix multiplication. Make sure you clearly show me the process you used for finding the inverse. \[ \left\{\begin{array}{l} 2 x_{1}-2 x_{2}=2 \\ x_{1}+x_{2}+2 x_{3}=2 \\ x_{1}+2 x_{2}+x_{3}=0 \end{array}\right. \]