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Question
The value of determinant `|(5, 3),(-7, -4)|` is ______.
Options
–1
–41
41
1
MCQ
Fill in the Blanks
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Solution
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
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2024-2025 (July) Official Board Paper
