Question

If `|(2, 3, 2),(x, x, x),(4, 9, 1)| + 3 = 0`, then the value of x is ______.

Options

• 3

• 0

• –1

• 1

Answer 1

If `|(2, 3, 2),(x, x, x),(4, 9, 1)| + 3 = 0`, then the value of x is –1.

Explanation:

`|(2, 3, 2),(x, x, x),(4, 9, 1)| + 3 = 0`

On expanding along R₁

2(x – 9x) – 3(x – 4x) + 2(9x – 4x) + 3 = 0

2(–8x) – 3(–3x) + 2(5x) + 3 = 0

–16x + 9x + 10x + 3 = 0

3x + 3 = 0

3x = –3

`x = - 3/3`

x = –1