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Question
The value of determinant `|(sin^2 13°, sin^2 77°, tan135°),(sin^2 77°, tan135°, sin^2 13°),(tan135°, sin^2 13°, sin^2 77°)|` is
Options
– 1
0
1
2
MCQ
Solution
0
Explanation:
`|(sin^2 13°, cos^2 13°, -1),(cos^2 13°, -1, sin^2 13°),(-1, sin^2 13°, cos^2 13°)|`
= `|(0, cos^2 13°, -1),(0, -1, sin^2 13°),(0, sin^2 13°, cos^2 13°)|`
= 0
Applying C1 → C1 + C2 + C3
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