Question

For what values of x: `[1, 2, 1] [(1, 2, 0),(2, 0, 1),(1, 0, 2)][(0),(2),(x)]` = O?

Answer 1

Here, `[(1, 2, 1)][(1, 2, 0), (2, 0, 1), (1, 0, 1)][(0),(2),(x)] = O`

⇒ `[(1, 2, 1)][(0 + 4 + 0),(0 + 0 + x),(0 + 0 + 2x)] = O`

⇒ `[(1, 2, 1)][(4),(x),(2x)] = O`

⇒ [4x + 2x + 2x] = O

⇒ 4x + 4 = O

⇒ 4x = –4

∴ `x = -4/4`

⇒ x = –1