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Grade 12Algebra

Without expandeing till the lat stage, Prove using properties of determinants that
| a sin x cos x |
| -sin x -a 1 |
| cos x 1 a |
is independent of x.

Profile image of Kartik Ohri
7 Years agoGrade 12
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1 Answer

Profile image of Arun
7 Years ago
just look the terms with A¹² and A¹³ because these terms contain sinx or cos x
 
Sinx ( cos x + a sinx) + cos x( - sinx + a cos x)
 
= a ( independent of x)
 
Hence determinants is also independent of x
 
 

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