Linear operator and auto vectors

rbeleza

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Jun 2, 2016
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Dear colleagues, I'd like some help on where to start solving this problem. Even if you just point me what to read.

"Given the linear operator T:R² -> R², and its eigenvectors v1=(2,1) v2 = (4,3) associated with eigenvalues λ1 = 5 and λ2 = -2, respectively. Determine the range of the vector (2, -1) through this operator."

Thanks!
 
Last edited:
Dear colleagues, I'd like some help on where to start solving this problem. Even if you just point me what to read.

"Given the linear operator T:R² -> R², and its auto vectors v1=(2,1) v2 = (4,3) associated with auto values λ1 = 5 and λ2 = -2, respectively. Determine the range of vector (2, -1) through this operator."

Thanks!
What is the definition of an auto-vector?

What is the definition of a range-vector?
 
Bad translatio

What is the definition of an auto-vector?

What is the definition of a range-vector?

That was bad translation of my part, I apologize.

It's the eigenvector, not auto-vector.

The range of the vector should be... the range set? As in the range of the function.

Thank you for your attention.
 
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