Question

The value of λ, such that the following system of equations has no solution, is

`2x - y - 2z = - 5`

`x - 2y + z = 2`

`x + y + lambdaz = 3`

Options

• 3

• 1

• 0

• – 3

Answer 1

– 3

Explanation:

Let equations

`2x - y - 2z = - 5`

`x - 2y + z = 2`

`x + y + lambdaz = 3`

for no solution

`|(2, -1, -2),(1, -2, 1),(1, 1, lambda)|` = 0

On solving `lambda` = – 3