Respuesta :
Given statement 'A scalar c is an eigenvalue of an n×n matrix a if the equation (a − ci) x = 0 has a non-trivial solution x' is True.
In this question, we have been given a statement 'a scalar c is an eigenvalue of an n×n matrix a if the equation (a − ci) x = 0 has a non-trivial solution x. '
We need to decide whether the given statement is true or not.
By the definition of an eigenvalue of an n×n matrix A, a scalar c is an eigenvalue of an n×n matrix A if the equation (A − cI)x = 0 has a non-trivial solution x.
Thus given statement is True.
Therefore, a scalar c is an eigenvalue of an n×n matrix a if the equation (a − ci) x = 0 has a non-trivial solution x is True.
Learn more about the eigenvalue here:
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