Question

Find the matrix X if 2X + `[(1, 3),(5, 7)] = [(5, 7),(9, 5)]`

विकल्प

• `[(-2, -2),(2, -1)]`

• `[(2, 2),(2, -1)]`

• `[(1, 2),(2, 2)]`

• `[(2, 1),(2, 2)]`

Answer 1

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

Explanation;

2X + `[(1, 3),(5, 7)] = [(5, 7),(9, 5)]`

⇒ 2X = `[(5, 7),(9, 5)] - [(1, 3),(5, 7)]`

2X = `[(4, 4),(4, -2)]`

⇒ X = `1/2 [(4, 4),(4, -2)]`

⇒ X = `[(2, 2),(2, -1)]`