Q2 of 256 Page 7

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


Multiplying C1, C2 and C3 with z, y and x respectively we get,



Now, taking y, x and z common from R1, R2 and R3 gives,



Applying C2 → C2 – C3 gives,



As, C1 = C2, therefore determinant is zero.


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