In the equation $A X=B, \quad A=\left[\begin{array}{ccc}\frac{1}{\sqrt{2}} & 0 & \frac{1}{\sqrt{2}} \\ 0 & 1 & 0 \\ \frac{1}{\sqrt{2}} & 0 & \frac{-1}{\sqrt{2}}\end{array}\right], \quad X=\left[\begin{array}{c}x \\ y \\ z\end{array}\right], \quad B=\left[\begin{array}{c}0 \\ 1 \\ -\sqrt{2}\end{array}\right],$ where $A$ is an orthogonal matrix, the sum of the unknowns, $x+y+z=$ _______(round off to one decimal place).

Question ID - 1 | SaraNextGen Top Answer

In the equation $A X=B, \quad A=\left[\begin{array}{ccc}\frac{1}{\sqrt{2}} & 0 & \frac{1}{\sqrt{2}} \\ 0 & 1 & 0 \\ \frac{1}{\sqrt{2}} & 0 & \frac{-1}{\sqrt{2}}\end{array}\right], \quad X=\left[\begin{array}{c}x \\ y \\ z\end{array}\right], \quad B=\left[\begin{array}{c}0 \\ 1 \\ -\sqrt{2}\end{array}\right],$ where $A$ is an orthogonal matrix, the sum of the unknowns, $x+y+z=$ _______(round off to one decimal place).