Answer:
Let
is the
required matrix
On
equation corresponding elements, we get
a
+ 2b = ? 7 ? (1)
2a
+ 5b = ? 8 ? (2)
3a
+ 6b = ? 9 ?. (3)
c
+ 4d = 2 ?. (4)
2c
+ 5d = 4 ?. (5)
3c
+ 6d = 6 ?. (6)
(2) ? 2 × (1) gives
5b ? 8b = ? 8 + 14
a ? 8 = ? 7
Clearly a = 1, b = ?2 satisfy
equation (3)
Also, (5) ? 2 × (4) gives
5d ? 8d = 4 ? 4
?3d = 0 d = 0
c + 0 = 2
Clearly c = 2, d = 0 satisfy
equation (6).
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