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Given, 2x - y + 2z = 2, x - 2y + z = -4,...

Given, `2x - y + 2z = 2, x - 2y + z = -4, x + y+ lamda z = 4`,then the value of `lambda` such that the given system of equations has no solution, is

A

3

B

1

C

0

D

-3

Text Solution

Verified by Experts

`because` System has no solution
`:." "Delta=0`and any one `Delta_1,Delta_2,Delta_3` is non-zero.
`Delta=|{:(2,-1,2),(1,-2,1),(1,1,lamda):}|=0rArrlamda=1`
and `Delta_3=|{:(2,-1,2),(1,-2,-4),(1,1,4):}|=6ne0`
Hence option (2) is correct
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