Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Matrices

Question:

If the system of equations \(x+ky-z=0,3x-ky-z=0\) and \(x-3y+z=0\) has non-zero solution, then \(k\) is

Options:

\(-1\)

\(0\)

\(1\)

\(2\)

Correct Answer:

\(1\)

Explanation:

Given the system is a homogeneous, so for non-zero solution determinant of the corresponding matrix should be nonzero.