Solved on Nov 22, 2023
Convert augmented matrix to system of 3 linear equations in , , and with constant terms.
STEP 1
Assumptions1. The given matrix is an augmented matrix representing a system of linear equations.
. The three variables in the system are , , and .
3. The fourth column of the matrix represents the constant term in each equation.
STEP 2
The first row of the matrix corresponds to the coefficients of the variables in the first equation. We can write this as
STEP 3
The second row of the matrix corresponds to the coefficients of the variables in the second equation. We can write this as
STEP 4
The third row of the matrix corresponds to the coefficients of the variables in the third equation. We can write this asSo, the system of linear equations corresponding to the given augmented matrix is\begin{align*} 4x +2y -4z &= -2 \\ 2x +16y -39z &=67 \\ x +3y -7z &=11\end{align*}
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