Consider the linear system x + y − z = 2 x + 2y + z = 3 x + y + (c^2 − 5)z = c Determine all values of c such that the resulting linear system has a unique solution.

Elementary Linear Algebra (MindTap Course List)
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Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 90E: Consider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the...
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Consider the linear system

x + y − z = 2
x + 2y + z = 3
x + y + (c^2 − 5)z = c

Determine all values of c such that the resulting linear system has a unique solution.

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