Question

On using elementary row operation R₁ → R₁ – 3R₂ in the following matrix equation: `[(4, 2),(3, 3)] = [(1, 2),(0, 3)] [(2, 0),(1, 1)]`, we have: ______.

Options

• `[(-5, -7),(3, 3)] = [(1, -7),(0, 3)] [(2, 0),(1, 1)]`

• `[(-5, -7),(3, 3)] = [(1, 2),(0, 3)] [(-1, -3),(1, 1)]`

• `[(-5, -7),(3, 3)] = [(1, 2),(1, -7)] [(2, 0),(1, 1)]`

• `[(4, 2),(-5, -7)] = [(1, 2),(-3, -3)] [(2, 0),(1, 1)]`

Answer 1

On using elementary row operation R₁ → R₁ – 3R₂ in the following matrix equation: `[(4, 2),(3, 3)] = [(1, 2),(0, 3)] [(2, 0),(1, 1)]`, we have: `[(-5, -7),(3, 3)] = [(1, -7),(0, 3)] [(2, 0),(1, 1)]`.

Explanation:

We have, `[(4, 2),(3, 3)] = [(1, 2),(0, 3)] [(2, 0),(1, 1)]`

Using elementary row transformation R₁ → R₁ – 3R₂

`[(-5, -7),(3, 3)] = [(1, -7),(0, 3)] [(2, 0),(1, 1)]`