Q9 of 256 Page 7

Evaluate the following:

Applying R₁→R₁ – R₂ and R₃→R₃ – R₂

Applying, C₂→C₂ – C₁

= a[a(a + x + y) + az] + 0 + 0

= a²(a + x + y + z)

So, Δ = a²(a + x + y + z)

Evaluate the following:

If ,, then prove that Δ + Δ₁ = 0.

Prove the following identities: