Q. 16 - Precalculus Enhanced with Graphing Utilities

Question

solve each system of equations using matrices.

If the system has no solution, say that it is inconsistent.

$$\begin{gathered} 2x+2y-3z=5 \\ x-y+2z=8 \\ 3x+5y-8z=-2 \end{gathered}$$

Step-by-Step Solution

Answer

The solution can't be determined as the given equation is singular.

Step 1. Given

$$\begin{gathered} 2x+2y-3z=5 \\ x-y+2z=8 \\ 3x+5y-8z=-2 \end{gathered}$$

Step 2. Explanation

$$\begin{gathered} For an equation AX=B \\ when we find A^{-1} \\ we multiply it with the current expression i.e. \\ {A}^{-1}AX=A^{-1}B \\ IX=A^{-1}B \\ X=A^{-1}B \\ Since given matrix is \sin gular thus the inverse can\text{'}t be obtained. \end{gathered}$$