The set of equations ๐‘ฅ + ๐‘ฆ + ๐‘ง = 1 ๐‘Ž๐‘ฅ โ€“ ๐‘Ž๐‘ฆ + 3๐‘ง = 5

Q. The set of equations

๐‘ฅ + ๐‘ฆ + ๐‘ง = 1

๐‘Ž๐‘ฅ โ€“ ๐‘Ž๐‘ฆ + 3๐‘ง = 5

5๐‘ฅ โˆ’ 3๐‘ฆ + ๐‘Ž๐‘ง = 6

has infinite solutions, if a =

(A) โˆ’3(B) 3(C) 4(D) โˆ’4
Ans: 4

Sol:

ฯ(A)=ฯ(AB)< no.of variables
|A|=0

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