If\( \begin{pmatrix} x-y & 2x-y \\ 2x+z & 3z+w \\ \end{pma

1.	If\( \begin{pmatrix} x-y & 2x-y \\ 2x+z & 3z+w \\ \end{pmatrix} \) = \( \begin{pmatrix} -1 & 0 \\ 5 & 13 \\ \end{pmatrix} \)thenA. z = 3, w = 4 B. z = 4, w = 3 C. z = 1, w = 2 D. z = 2, w = -1
Answer» By comparing L.H.S and R.H.S x - y = -1 -------- i 2x – y = 0 -------- ii 2x+ z = 5 --------- iii 3z + w =13 ------- iv Using i in equation ii x = -1 + y ii becomes, -2 + 2y –y = 0 y = 2 x = 1 Putting x in iii 2 + z =5 z = 3 Putting z in iv 9 + w = 13 w = 4

If\( \begin{pmatrix} x-y & 2x-y \\ 2x+z & 3z+w \\ \end{pmatrix} \) = \( \begin{pmatrix} -1 & 0 \\ 5 & 13 \\ \end{pmatrix} \)thenA. z = 3, w = 4 B. z = 4, w = 3 C. z = 1, w = 2 D. z = 2, w = -1

Answer»

By comparing L.H.S and R.H.S

x - y = -1 -------- i

2x – y = 0 -------- ii

2x+ z = 5 --------- iii

3z + w =13 ------- iv

Using i in equation ii

x = -1 + y

ii becomes, -2 + 2y –y = 0

y = 2

x = 1

Putting x in iii

2 + z =5

z = 3

Putting z in iv

9 + w = 13

w = 4