Question

If A = `[(1, -1, 3), (2, 5, 4)]`, then R₁ ↔ R₂ and C₃ → C₃ + 2C₂ gives ______

विकल्प

• `[(2, -5, 14), (1, 1, -1)]`

• `[(2, 5, 14), (1, -1, 1)]`

• `[(2, -5, 14), (1, -1, -1)]`

• `[(2, 5, 14), (1, -1, 2)]`

Answer 1

`[(2, 5, 14), (1, -1, 1)]`

Explanation:

A = `[(1, -1, 3), (2, 5, 4)]`

Applying R₁ ↔ R₂, we get

A = `[(2, 5, 4), (1, -1, 3)]`

Applying C₃ → C₃ + 2C₂, we get

A = `[(2, 5, 14), (1, -1, 1)]`