Consider the system of equations x+2y+32 = 0 2−g=0 x + kz = 0. a) Calculate the determinant of the coefficient matrix using row operations. b) For which value(s) of k (if any) does the system have no solution? c) For which value(s) of k (if any) does the system have exactly one solution? d) For which value(s) of k (if any) does the system have infinitely many solutions?

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A: Dear student you have asked multiple questions. As per our policy your first question will be…

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