If $\left[\begin{array}{ccc}1 & 1 & 1 \\ 1 & -2 & -2 \\ 1 & 3 & 1\end{array}\right]\left[\begin{array}{l}x…

If $\left[\begin{array}{ccc}1 & 1 & 1 \\ 1 & -2 & -2 \\ 1 & 3 & 1\end{array}\right]\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\left[\begin{array}{l}0 \\ 3 \\ 4\end{array}\right]$, then $2 x-y+z=$
  1. 3
  2. 2
  3. 1
  4. $-3$

Solution

From the given equation we have Solving we get $x=1, y=2$ and $z=-3$ Now, $2 x-y+z=2 \times 1-2+(-3)=-3$

Asked in: MHT CET 2022 (07 Aug Shift 2)

Practice more Matrices questions on Aicharya