Question

If matrix A = `[(x - y, x + y),(y - x, y + x)]` and matrix B = `[(x + y, y - x),(x - y, y + x)]` then A + B is ______.

विकल्प

• `[(2y, 2),(0, 2(x + y))]`

• `[(2x, 2(x + y)),(0, 0)]`

• `[(2x, 2y),(0, 2(x + y))]`

• `[(2x - 2y, 2y),(0, 0)]`

Answer 1

If matrix A = `[(x - y, x + y),(y - x, y + x)]` and matrix B = `[(x + y, y - x),(x - y, y + x)]` then A + B is `underlinebb([(2x, 2y),(0, 2(x + y))])`.

Explanation:

A + B = `[(x - y, x + y),(y - x, y + x)] + [(x + y, y - x),(x - y, y + x)]`

= `[(x - y + x + y, x + y + y - x),(y - x + x - y, y + x + y +  x)]`

= `[(2x, 2y),(0, 2(x + y))]`