If the system of linear equations:x-ky-z=0,kx-y-z=0,x+y-z=0,has nonzero solutions, then possible values of k areans.

Question

If the system of linear equations:x-ky-z=0,kx-y-z=0,x+y-z=0,has nonzero solutions, then possible values of k areans.
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Solution 1

The system of linear equations given is:

  1. x - ky - z = 0
  2. kx - y - z = 0
  3. x + y - z = 0

For a system of linear equations to have non-zero solutions, the determinant of the coefficient matrix must be equal to zero.

The coefficient matrix for the given system is:

| 1 -k -1 | | k -1 -1 | | 1 Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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