3. (15 pts.) We know that the following homogeneous system has a trivial solution (i.e., 2x + k y + z = 0 x=y=z=0) regar
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3. (15 pts.) We know that the following homogeneous system has a trivial solution (i.e., 2x + k y + z = 0 x=y=z=0) regar
3. (15 pts.) We know that the following homogeneous system has a trivial solution (i.e., 2x + k y + z = 0 x=y=z=0) regardless of the value of k: {(k – 1)x – y + 2z=0. 4x + y + 4z = 0 Identify the value of k so that the system can have non-trivial solutions. = =
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