Determining k for linear system with infinite solutions


Question:

Determining K for Linear System with Infinite Solutions

1. Determine all values of k for which the given system has an infinite number of solutions:

x1 + 2x1 + x3 = kx1
2x1 + x2 + x3 = kx2
x1 + x2 + 2x3 = kx3

Figure that the determinant for the matrix in the system is -4. I just don't know how to use that to determine the solution of this problem.

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Algebra: Determining k for linear system with infinite solutions
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