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Suppose a1, a, are real numbers, with a...

Suppose `a_1, a_, ` are real numbers, with `a_1!=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_9=0 has infinite number of solutions. (c)`B=[(a_1,i a_2),(ia_2,a_1)]` is non-singular (d)none of these

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