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Question
If `|(3"a" + 2"b" , 2"a" - "b"),(4"p" - 3"q" , 2"p" + "q")|` = `|(12 , 1),(16 , 8)|` , find the values of a , b , p and q.
Solution
`|(3"a" + 2"b" , 2"a" - "b"),(4"p" - 3"q" , 2"p" + "q")|` = `|(12 , 1),(16 , 8)|`
3a + 2b = 12 -(1)
2a - b = 1 -(2)
b = 2a - 1
4p - 3q = 16 -(3)
2p + q = 8 -(4)
putting the value of b in (1)
3a + 4a - 2 = 12
7a = 14
a = 2
from (2)
4 - b = 1
b = 3
putting the value of q in (3)
4p - 24 + 6p = 16
10 p = 40
p = 4
from(4)
8 + q = 8
q = 0
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