Question

Use Cramer's rule to solve the system: $2x_1 + x_2 + x_3 = 4$ $-x_1 + 2x_3 = 2$ $3x_1 + x_2 + x_3 = -2$

          Use Cramer's rule to solve the system:
$2x_1 + x_2 + x_3 = 4$
$-x_1 + 2x_3 = 2$
$3x_1 + x_2 + x_3 = -2$

Added by Christopher P.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

07/04/2023

Step 1

First, we find the determinant of the coefficient matrix: $$ D = \begin{vmatrix} 2 & 1 & 1 \\ -1 & 0 & 2 \\ 3 & 1 & 1 \end{vmatrix} $$ $$ D = 2\begin{vmatrix} 0 & 2 \\ 1 & 1 \end{vmatrix} - 1\begin{vmatrix} -1 & 2 \\ 3 & 1 \end{vmatrix} + 1\begin{vmatrix} -1 & 0 Show more…

Show all steps