Question

If  \[\begin{bmatrix}xy & 4 \\ z + 6 & x + y\end{bmatrix} = \begin{bmatrix}8 & w \\ 0 & 6\end{bmatrix}\] , write the value of (x + y + z).

Answer 1

\[\begin{bmatrix}xy & 4 \\ z + 6 & x + y\end{bmatrix} = \begin{bmatrix}8 & w \\ 0 & 6\end{bmatrix}\]

Corresponding elements of equal matrices are equal . 

∴ z + 6 =  0 and x + y = 6

⇒z = - 6 and x + y = 6 

∴ Therefore, x + y + z = 6 - 6 = 0 .