Q2 of 256 Page 7

Without expanding, show that the value of each of the following determinants is zero:


Applying C1→C1 + C2, we get



Using, sin(90 – A) = cos A, sin2 A + cos2 A = 1 ,and cos 180˚ = – 1,




Taking, ( – 1) common from C1, we get



Therefore, as C1 = C3 determinant is zero.


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Without expanding, show that the value of each of the following determinants is zero:

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