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Determine for that values of lambda and...

Determine for that values of `lambda and mu` the following system of equations
`x+y+xz=6,
x+2y+43z=10 and` x+2y+lambdaz=mu` have (i) no solution (iii) a unique solution ? (iii) an infine number of solution?

A

`lambda ne 3, mu=10`

B

`lambda=3, mu ne 10`

C

`lambda ne 3, mu ne 10`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
The given system of equations may by written as

For `lambda=3and mu ne10`,we observe that the rank of the coefficient matrix is 2 and that of the augmented matrix is 3. So, the given system of equations has no solution.
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