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Solve the System by Using the Inverse of the Coefficient −2x+y+3z−w=14−x−4y+z−4w=12−4x+3y−2z+w=43x−y−z−4w=3\begin{array} { l } - 2 x + y + 3 z - w = 14 \\- x - 4 y + z - 4 w = 12 \\- 4 x + 3 y - 2 z + w = 4 \\3 x - y - z - 4 w = 3\end{array}

Question 397

Multiple Choice

Solve the system by using the inverse of the coefficient matrix.
- −2x+y+3z−w=14−x−4y+z−4w=12−4x+3y−2z+w=43x−y−z−4w=3\begin{array} { l } - 2 x + y + 3 z - w = 14 \\- x - 4 y + z - 4 w = 12 \\- 4 x + 3 y - 2 z + w = 4 \\3 x - y - z - 4 w = 3\end{array}


A) {(−2,1,2,−3) }\{ ( - 2,1,2 , - 3 ) \}
B) {(−2,−1,−2,3) }\{ ( - 2 , - 1 , - 2,3 ) \}
C) ∅\varnothing
D) {(−4,2,3,−5) }\{ ( - 4,2,3 , - 5 ) \}

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