Given

⇒ |A| = 2 (6 – 5) - λ (0 – 5) + (-3) (0 – 2)

= 2 + 5λ + 6

= 5λ + 8

We know that A^-1 exists if A is non – singular matrix i.e. |A| ≠ 0.

∴ 5λ + 8 ≠ 0

⇒ 5λ ≠ -8

So, A^-1 exists if and only if .