Question

If $\begin{bmatrix} x + y & 2x + z \\ x - y & 2z + w \end{bmatrix} = \begin{bmatrix} 4 & 7 \\ 0 & 10 \end{bmatrix}$then values of $x,y,z,w$are

• A. 2, 2, 3, 4
• B. 2, 3, 1,2
• C. 3, 3, 0, 1
• D. None

Answer 1

Answer: (A)

2, 2, 3, 4

Answer 2

We have $\begin{bmatrix} x + y & 2x + z \\ x - y & 2z + w \end{bmatrix} = \begin{bmatrix} 4 & 7 \\ 0 & 10 \end{bmatrix}$

$x + y = 4,$ $2x + z = 7$, $x - y = 0$and $2z + \omega = 10$

⇒ $x = 2$and $y = 2,z = 3,w = 4$