Ask Question
27 January, 15:48

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disaproves the statement.

If Ax=ax for a square matrix A, vector x, and scalar a, where x=/0, then a is an eigenvalue of A.

+5
Answers (1)
  1. 27 January, 17:04
    0
    True

    Step-by-step explanation:

    This statement is true, basically by the definition of eigenvalue. An eigenvalue is a scalar λ such that there exist a nonzero vector v which satisfies Av = λv. Naturally, the given value a satisfies this hypothesis, hence it is an eigenvalue, as we wanted to show.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers