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Question

If [a+2b2cdc+4d4ba]=[1023714], then the values of a,b,c,d respectively is

(a) 2,4,6,8 (b) 2,4,5,8
(c) 2,4,5,7 (d) 1,4,5,8

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Solution

[a+2b2cdc+4d4ba]=[1023714]

By the equality of two matrices, equating the corresponding elements, we get
a+2b=10 ...(1)2cd=2 ...(2)c+4d=37 ...(3)4ba=14 ...(4).

Adding eqn(1) and (4), we get
6b=24b=4 a=2.

Multiplying eqn(2) by 4 and add eqn(3), we get
8c4d+c+4d=459c=45 c=5d=8.

The values are a=2, b=4, c=5, d=8.
Ans : (b)

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