Question
Use Cramer's rule to solve each system.$\begin{aligned} x+y &=-1 \\ 2 y-z &=3 \\ x+y+z &=0 \end{aligned}$
Step 1
The coefficient matrix is given by: \[D = \begin{bmatrix} 1 & 1 & 0 \\ 0 & 2 & -1 \\ 1 & 1 & 1 \end{bmatrix}\] The determinant of this matrix is calculated as follows: \[D = 1*(2*1 - (-1)*1) - 1*(0 - (-1)*1) + 0 = 2 + 1 = 3\] Show more…
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