Question

The value of determinant `|(5, 3),(-7, -4)|` is ______.

पर्याय

• –1

• –41

• 41

• 1

Answer 1

The value of determinant `|(5, 3),(-7, -4)|` is 1.

Explanation:

Given determinant:

`|(5, 3),(-7, -4)|`

For a 2 × 2 matrix:

`|(a, b),(c, d)| = ad - bc`

Calcluate:

= (5)(–4) – (3)(–7)

= –20 – (–21)

= –20 + 21

= 1