Question

for which value of k the following systems is consistent
$2x - 5ky + 6z = 0 \\ kx + 2y - 2z = 0 \\ 2x + 2y - kz = 0$
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Answer 1

Answer:

A system of two linear equations can have one solution, an infinite number of solutions, or no solution. ... If a system has at least one solution, it is said to be consistent . If a consistent system has exactly one solution, it is independent . If a consistent system has an infinite number of solutions, it is dependent .