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Question
If A = `|(5,"r"),("p",7)|` , c and if A + B = (9,7),(5,8) , find the values of p,q,r and s.
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Solution
A = `|(5,"r"),("p",7)|` , B = `|("q",4),(3,"s")|`
A + B = `|(5,"r"),("p",7)| + |("q",4),(3,"s")|`
A + B = `|("s + q","r" + 4),("p + 3" , "7 + s")|_(2 xx 2)` ..........(1)
But given
A + B = `|(9,7),(5,8)|_(2 xx 2)` ............(2)
from (1) & (2)
`|(5 + "q" , "r" + 4),("p" + 3 , 7 + "s")| = |(9,7),(5 , 8)|`
5 + q = 9
⇒ q = 4
r + 4 = 7
⇒ r = 3
p + 3 = 5
⇒ p = 2
7 + s = 8
⇒ s = 1
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