## Determine whether a linear map is a simple function given its kernel and one eigenvalue

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Question: How to determine if a function is simple in linear algebra?

V = { (x, y, z) in R3 : x + y – z = 0 } and f : R3 —› R3V = Ker(f) and 1 is an eigenvalue of f .How can I determine if f is simple or not ? And also how can I find the dimension of the Kernel of f ; and the dimension of the Image of f ?Thank you so much for the help

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Answered By:

Andrew D.

Bachelor’s degree in mathematics with tutoring experience

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