Suppose \( a_{1}, a_{2}, \ldots \) real numbers, with \( a_{1} \neq 0 \). If \( a_{1}, a_{2}, a_... VIDEO
Suppose \( a_{1}, a_{2}, \ldots \) real numbers, with \( a_{1} \neq 0 \). If \( a_{1}, a_{2}, a_{3}, \ldots \) are in A.P. Then, which of the following is not correct?
(a) \( A=\left[\begin{array}{lll}a_{1} & a_{2} & a_{3} \\ a_{4} & a_{5} & a_{6} \\ a_{5} & a_{6} & a_{7}\end{array}\right] \) is singular
(b) The system of equations \( a_{1} x+a_{2} y+a_{3} z=0, a_{4} x+a_{5} y \) \( +a_{6} z=0, a_{7} x+a_{8} y+a_{9} z=0 \) has infinite number of solutions
(c) \( B=\left[\begin{array}{cc}a_{1} & i a_{2} \\ i a_{2} & a_{1}\end{array}\right] \) is non-singular; where \( i=\sqrt{-1} \)
(d) None of these
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