DeterminantHard

Question

If the system of equations x + ay = 0, az + y = 0 and ax + z = 0 has infinite solutions, then the value of a is

Options

A.- 1
B.1
C.0
D.no real values

Solution

Given equation x + ay = 0, qz + y = 0, ax + z = 0 has infinite solutions.
∴         = 0 ⇒ 1 + a3 = 0
or         a = - 1

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