Use product [(1,-1,2),(0,2,-3),(3,-2,4)] [(-2,0,1),(9,2,-3),(6,1,-2)] to solve the system of equations x + 3z = 9, -x + 2y – 2z = 4, 2x – 3y + 4z = -3

Question

Use product \(\begin{bmatrix} 1& -1& 2\\[0.3em] 0&2 &-3 \\[0.3em] 3 & -2& 4 \end{bmatrix}\) \(\begin{bmatrix} -2& 0& 1\\[0.3em] 9&2 &-3 \\[0.3em] 6 & 1& -2\end{bmatrix}\) to solve the system of equations x + 3z = 9, -x + 2y – 2z = 4, 2x – 3y + 4z = -3

Answer 1

Writing the given system of equation in matrix form, we get