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Suppose a1,a2,….are real numbers , with...

Suppose `a_1,a_2`,….are real numbers , with `a_1 ne 0` . If `a_1,a_2,a_3`, ….are in A.P., then :

A

`A=[(a_1,a_2,a_3),(a_4,a_5,a_6),(a_5,a_6,a_7)]` is singular (where `i=sqrt(-1)` )

B

the system of equations `a_1x+a_2y+a_3z=0` , `a_4x+a_5y+a_6z=0, a_7x+a_8y+a_9z=0` has infinite number of solutions

C

`B=[(a_1, ia_2),(ia_2,a_1)]` is nonsingular

D

None of these

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A, B, C
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