Question

Find the value of the determinant.
4 8 10
4 0-1
3 - 2 4

Answer 1

- 240

Explanation:

We have to find the value of the following determinant

`\left|\begin{array}{ccc}4&8&10\\4&0&-1\\3&-2&4\end{array}\right|`

Now, we know that the value of a general determinant
`\left|\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right|` is given by [a( ei - fh) + b(fg - di) + c(dh - eg)]

Therefore, the value of the given determinant is

= 4[0 × 4 - (-1)(-2)] + 8[3(-1) - 4 × 4] + 10[4(-2) - 3 × 0]

= - 8 - 152 - 80 = - 240 (Answer)