- #1

Michael_0039

- 59

- 7

**Thread moved from technical math section, so there is no homework template.**

(∀λ∃ℝ)

-x + y - z = 1

-2x + 10y + (2λ + 6) = 6

3x + 11y + (λ

^{2}+6)z = 5λ - 1

after gaussian elimination I have this:

-1 4 -2 | 1

0 1 λ | 2

0 0 λ(λ-1) | 5λ

So, for λ=0 ⇒ ∞ solutions, for λ=1 system is impossible and for λ≠0 and λ≠1 only one solution.

Am I right?

Last edited by a moderator: