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Question
If `|(2"a" + "b" , "c"),("d" , 3"a" - "b")|` = `|(4 , 3"a"),(7 , 6)|` , find the values of a , b , c and d.
Solution
Given ,
`|(2"a" + "b" , "c"),("d" , 3"a" - "b")|_(2 xx 2)` = `|(4 , 3"a"),(7 , 6)|_(2 xx 2)`
2a + b = 4 -(1)
3a - b = 6 -(2)
Adding (1) and (2), we get
5 a = 10
⇒ a = 2
from (1)
2(2) + b = 4
⇒ b = 0
C = 3a
⇒ C = 3 x 2
⇒ c = 6
⇒ d = 7
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